대수 예제

$1 + \cos (18 x)$

단계 1

각 항을 간단히 합니다.

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단계 1.1

$18 x$ 에서 $2$ 를 인수분해합니다.

$1 + \cos (2 (9 x))$

단계 1.2

각 항을 간단히 합니다.

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단계 1.2.1

$9 x$ 에서 $3$ 를 인수분해합니다.

$1 + 2 \cos^{2} (3 (3 x)) - 1$

단계 1.2.2

각 항을 간단히 합니다.

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단계 1.2.2.1

삼배각 공식을 사용하여 $\cos (3 x)$ 를 $4 \cos^{3} (x) - 3 \cos (x)$ 로 바꿉니다.

$1 + 2 {(4 {(4 \cos^{3} (x) - 3 \cos (x))}^{3} - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.2

이항정리 이용

$1 + 2 {(4 ({(4 \cos^{3} (x))}^{3} + 3 {(4 \cos^{3} (x))}^{2} (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3

각 항을 간단히 합니다.

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단계 1.2.2.3.1

$4 \cos^{3} (x)$ 에 곱의 미분 법칙을 적용합니다.

$1 + 2 {(4 (4^{3} {(\cos^{3} (x))}^{3} + 3 {(4 \cos^{3} (x))}^{2} (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.2

$4$ 를 $3$ 승 합니다.

$1 + 2 {(4 (64 {(\cos^{3} (x))}^{3} + 3 {(4 \cos^{3} (x))}^{2} (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.3

${(\cos^{3} (x))}^{3}$ 의 지수를 곱합니다.

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단계 1.2.2.3.3.1

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$1 + 2 {(4 (64 {\cos (x)}^{3 \cdot 3} + 3 {(4 \cos^{3} (x))}^{2} (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.3.2

$3$ 에 $3$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 {(4 \cos^{3} (x))}^{2} (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.4

$4 \cos^{3} (x)$ 에 곱의 미분 법칙을 적용합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (4^{2} {(\cos^{3} (x))}^{2}) (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.5

$4$ 를 $2$ 승 합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 {(\cos^{3} (x))}^{2}) (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.6

${(\cos^{3} (x))}^{2}$ 의 지수를 곱합니다.

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단계 1.2.2.3.6.1

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 {\cos (x)}^{3 \cdot 2}) (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.6.2

$3$ 에 $2$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 \cos^{6} (x)) (- 3 \cos (x)) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.7

지수를 더하여 $\cos^{6} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.2.3.7.1

$\cos (x)$ 를 옮깁니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 (\cos (x) \cos^{6} (x))) \cdot - 3 + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.7.2

$\cos (x)$ 에 $\cos^{6} (x)$ 을 곱합니다.

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단계 1.2.2.3.7.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 (\cos^{1} (x) \cos^{6} (x))) \cdot - 3 + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.7.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 {\cos (x)}^{1 + 6}) \cdot - 3 + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.7.3

$1$ 를 $6$ 에 더합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 3 (16 \cos^{7} (x)) \cdot - 3 + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.8

$16$ 에 $3$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) + 48 \cos^{7} (x) \cdot - 3 + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.9

$- 3$ 에 $48$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 3 (4 \cos^{3} (x)) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.10

$4$ 에 $3$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cos^{3} (x) {(- 3 \cos (x))}^{2} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.11

$- 3 \cos (x)$ 에 곱의 미분 법칙을 적용합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cos^{3} (x) ({(- 3)}^{2} \cos^{2} (x)) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.12

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cdot {(- 3)}^{2} \cos^{3} (x) \cos^{2} (x) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.13

지수를 더하여 $\cos^{3} (x)$ 에 $\cos^{2} (x)$ 을 곱합니다.

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단계 1.2.2.3.13.1

$\cos^{2} (x)$ 를 옮깁니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cdot {(- 3)}^{2} (\cos^{2} (x) \cos^{3} (x)) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.13.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cdot {(- 3)}^{2} {\cos (x)}^{2 + 3} + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.13.3

$2$ 를 $3$ 에 더합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cdot {(- 3)}^{2} \cos^{5} (x) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.14

$- 3$ 를 $2$ 승 합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 12 \cdot 9 \cos^{5} (x) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.15

$12$ 에 $9$ 을 곱합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 108 \cos^{5} (x) + {(- 3 \cos (x))}^{3}) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.16

$- 3 \cos (x)$ 에 곱의 미분 법칙을 적용합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 108 \cos^{5} (x) + {(- 3)}^{3} \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.3.17

$- 3$ 를 $3$ 승 합니다.

$1 + 2 {(4 (64 \cos^{9} (x) - 144 \cos^{7} (x) + 108 \cos^{5} (x) - 27 \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.4

분배 법칙을 적용합니다.

$1 + 2 {(4 (64 \cos^{9} (x)) + 4 (- 144 \cos^{7} (x)) + 4 (108 \cos^{5} (x)) + 4 (- 27 \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.5

간단히 합니다.

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단계 1.2.2.5.1

$64$ 에 $4$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) + 4 (- 144 \cos^{7} (x)) + 4 (108 \cos^{5} (x)) + 4 (- 27 \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.5.2

$- 144$ 에 $4$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 4 (108 \cos^{5} (x)) + 4 (- 27 \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.5.3

$108$ 에 $4$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) + 4 (- 27 \cos^{3} (x)) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.5.4

$- 27$ 에 $4$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 108 \cos^{3} (x) - 3 \cos (3 x))}^{2} - 1$

단계 1.2.2.6

삼배각 공식을 사용하여 $\cos (3 x)$ 를 $4 \cos^{3} (x) - 3 \cos (x)$ 로 바꿉니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 108 \cos^{3} (x) - 3 (4 \cos^{3} (x) - 3 \cos (x)))}^{2} - 1$

단계 1.2.2.7

분배 법칙을 적용합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 108 \cos^{3} (x) - 3 (4 \cos^{3} (x)) - 3 (- 3 \cos (x)))}^{2} - 1$

단계 1.2.2.8

$4$ 에 $- 3$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 108 \cos^{3} (x) - 12 \cos^{3} (x) - 3 (- 3 \cos (x)))}^{2} - 1$

단계 1.2.2.9

$- 3$ 에 $- 3$ 을 곱합니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 108 \cos^{3} (x) - 12 \cos^{3} (x) + 9 \cos (x))}^{2} - 1$

단계 1.2.3

$- 108 \cos^{3} (x)$ 에서 $12 \cos^{3} (x)$ 을 뺍니다.

$1 + 2 {(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x))}^{2} - 1$

단계 1.2.4

${(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x))}^{2}$ 을 $(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x)) (256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x))$ 로 바꿔 씁니다.

$1 + 2 ((256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x)) (256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x))) - 1$

단계 1.2.5

첫 번째 수식의 항과 두 번째 수식의 항을 각각 곱하여 $(256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x)) (256 \cos^{9} (x) - 576 \cos^{7} (x) + 432 \cos^{5} (x) - 120 \cos^{3} (x) + 9 \cos (x))$ 를 전개합니다.

$1 + 2 (256 \cos^{9} (x) (256 \cos^{9} (x)) + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6

각 항을 간단히 합니다.

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단계 1.2.6.1

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (256 \cdot 256 \cos^{9} (x) \cos^{9} (x) + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.2

지수를 더하여 $\cos^{9} (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

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단계 1.2.6.2.1

$\cos^{9} (x)$ 를 옮깁니다.

$1 + 2 (256 \cdot 256 (\cos^{9} (x) \cos^{9} (x)) + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (256 \cdot 256 {\cos (x)}^{9 + 9} + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.2.3

$9$ 를 $9$ 에 더합니다.

$1 + 2 (256 \cdot 256 \cos^{18} (x) + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.3

$256$ 에 $256$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) + 256 \cos^{9} (x) (- 576 \cos^{7} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.4

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) + 256 \cdot - 576 \cos^{9} (x) \cos^{7} (x) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.5

지수를 더하여 $\cos^{9} (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.5.1

$\cos^{7} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) + 256 \cdot - 576 (\cos^{7} (x) \cos^{9} (x)) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.5.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) + 256 \cdot - 576 {\cos (x)}^{7 + 9} + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.5.3

$7$ 를 $9$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) + 256 \cdot - 576 \cos^{16} (x) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.6

$256$ 에 $- 576$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 256 \cos^{9} (x) (432 \cos^{5} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.7

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 256 \cdot 432 \cos^{9} (x) \cos^{5} (x) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.8

지수를 더하여 $\cos^{9} (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.8.1

$\cos^{5} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 256 \cdot 432 (\cos^{5} (x) \cos^{9} (x)) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.8.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 256 \cdot 432 {\cos (x)}^{5 + 9} + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.8.3

$5$ 를 $9$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 256 \cdot 432 \cos^{14} (x) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.9

$256$ 에 $432$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) + 256 \cos^{9} (x) (- 120 \cos^{3} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.10

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) + 256 \cdot - 120 \cos^{9} (x) \cos^{3} (x) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.11

지수를 더하여 $\cos^{9} (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.11.1

$\cos^{3} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) + 256 \cdot - 120 (\cos^{3} (x) \cos^{9} (x)) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.11.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) + 256 \cdot - 120 {\cos (x)}^{3 + 9} + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.11.3

$3$ 를 $9$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) + 256 \cdot - 120 \cos^{12} (x) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.12

$256$ 에 $- 120$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 256 \cos^{9} (x) (9 \cos (x)) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.13

지수를 더하여 $\cos^{9} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.13.1

$\cos (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 256 (\cos (x) \cos^{9} (x)) \cdot 9 - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.13.2

$\cos (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.13.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 256 (\cos^{1} (x) \cos^{9} (x)) \cdot 9 - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.13.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 256 {\cos (x)}^{1 + 9} \cdot 9 - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.13.3

$1$ 를 $9$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 256 \cos^{10} (x) \cdot 9 - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.14

$9$ 에 $256$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 576 \cos^{7} (x) (256 \cos^{9} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.15

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 576 \cdot 256 \cos^{7} (x) \cos^{9} (x) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.16

지수를 더하여 $\cos^{7} (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.16.1

$\cos^{9} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 576 \cdot 256 (\cos^{9} (x) \cos^{7} (x)) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.16.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 576 \cdot 256 {\cos (x)}^{9 + 7} - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.16.3

$9$ 를 $7$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 576 \cdot 256 \cos^{16} (x) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.17

$- 576$ 에 $256$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) - 576 \cos^{7} (x) (- 576 \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.18

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) - 576 \cdot - 576 \cos^{7} (x) \cos^{7} (x) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.19

지수를 더하여 $\cos^{7} (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.19.1

$\cos^{7} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) - 576 \cdot - 576 (\cos^{7} (x) \cos^{7} (x)) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.19.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) - 576 \cdot - 576 {\cos (x)}^{7 + 7} - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.19.3

$7$ 를 $7$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) - 576 \cdot - 576 \cos^{14} (x) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.20

$- 576$ 에 $- 576$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 576 \cos^{7} (x) (432 \cos^{5} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.21

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 576 \cdot 432 \cos^{7} (x) \cos^{5} (x) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.22

지수를 더하여 $\cos^{7} (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.22.1

$\cos^{5} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 576 \cdot 432 (\cos^{5} (x) \cos^{7} (x)) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.22.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 576 \cdot 432 {\cos (x)}^{5 + 7} - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.22.3

$5$ 를 $7$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 576 \cdot 432 \cos^{12} (x) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.23

$- 576$ 에 $432$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) - 576 \cos^{7} (x) (- 120 \cos^{3} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.24

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) - 576 \cdot - 120 \cos^{7} (x) \cos^{3} (x) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.25

지수를 더하여 $\cos^{7} (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.25.1

$\cos^{3} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) - 576 \cdot - 120 (\cos^{3} (x) \cos^{7} (x)) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.25.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) - 576 \cdot - 120 {\cos (x)}^{3 + 7} - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.25.3

$3$ 를 $7$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) - 576 \cdot - 120 \cos^{10} (x) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.26

$- 576$ 에 $- 120$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 576 \cos^{7} (x) (9 \cos (x)) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.27

지수를 더하여 $\cos^{7} (x)$ 에 $\cos (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.27.1

$\cos (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 576 (\cos (x) \cos^{7} (x)) \cdot 9 + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.27.2

$\cos (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.27.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 576 (\cos^{1} (x) \cos^{7} (x)) \cdot 9 + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.27.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 576 {\cos (x)}^{1 + 7} \cdot 9 + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.27.3

$1$ 를 $7$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 576 \cos^{8} (x) \cdot 9 + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.28

$9$ 에 $- 576$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 432 \cos^{5} (x) (256 \cos^{9} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.29

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 432 \cdot 256 \cos^{5} (x) \cos^{9} (x) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.30

지수를 더하여 $\cos^{5} (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.30.1

$\cos^{9} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 432 \cdot 256 (\cos^{9} (x) \cos^{5} (x)) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.30.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 432 \cdot 256 {\cos (x)}^{9 + 5} + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.30.3

$9$ 를 $5$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 432 \cdot 256 \cos^{14} (x) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.31

$432$ 에 $256$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) + 432 \cos^{5} (x) (- 576 \cos^{7} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.32

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) + 432 \cdot - 576 \cos^{5} (x) \cos^{7} (x) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.33

지수를 더하여 $\cos^{5} (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.33.1

$\cos^{7} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) + 432 \cdot - 576 (\cos^{7} (x) \cos^{5} (x)) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.33.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) + 432 \cdot - 576 {\cos (x)}^{7 + 5} + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.33.3

$7$ 를 $5$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) + 432 \cdot - 576 \cos^{12} (x) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.34

$432$ 에 $- 576$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 432 \cos^{5} (x) (432 \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.35

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 432 \cdot 432 \cos^{5} (x) \cos^{5} (x) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.36

지수를 더하여 $\cos^{5} (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.36.1

$\cos^{5} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 432 \cdot 432 (\cos^{5} (x) \cos^{5} (x)) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.36.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 432 \cdot 432 {\cos (x)}^{5 + 5} + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.36.3

$5$ 를 $5$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 432 \cdot 432 \cos^{10} (x) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.37

$432$ 에 $432$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) + 432 \cos^{5} (x) (- 120 \cos^{3} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.38

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) + 432 \cdot - 120 \cos^{5} (x) \cos^{3} (x) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.39

지수를 더하여 $\cos^{5} (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.39.1

$\cos^{3} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) + 432 \cdot - 120 (\cos^{3} (x) \cos^{5} (x)) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.39.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) + 432 \cdot - 120 {\cos (x)}^{3 + 5} + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.39.3

$3$ 를 $5$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) + 432 \cdot - 120 \cos^{8} (x) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.40

$432$ 에 $- 120$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 432 \cos^{5} (x) (9 \cos (x)) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.41

지수를 더하여 $\cos^{5} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.41.1

$\cos (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 432 (\cos (x) \cos^{5} (x)) \cdot 9 - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.41.2

$\cos (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

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단계 1.2.6.41.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 432 (\cos^{1} (x) \cos^{5} (x)) \cdot 9 - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.41.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 432 {\cos (x)}^{1 + 5} \cdot 9 - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.41.3

$1$ 를 $5$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 432 \cos^{6} (x) \cdot 9 - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.42

$9$ 에 $432$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 120 \cos^{3} (x) (256 \cos^{9} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.43

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 120 \cdot 256 \cos^{3} (x) \cos^{9} (x) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.44

지수를 더하여 $\cos^{3} (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

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단계 1.2.6.44.1

$\cos^{9} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 120 \cdot 256 (\cos^{9} (x) \cos^{3} (x)) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.44.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 120 \cdot 256 {\cos (x)}^{9 + 3} - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.44.3

$9$ 를 $3$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 120 \cdot 256 \cos^{12} (x) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.45

$- 120$ 에 $256$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) - 120 \cos^{3} (x) (- 576 \cos^{7} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.46

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) - 120 \cdot - 576 \cos^{3} (x) \cos^{7} (x) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.47

지수를 더하여 $\cos^{3} (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

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단계 1.2.6.47.1

$\cos^{7} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) - 120 \cdot - 576 (\cos^{7} (x) \cos^{3} (x)) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.47.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) - 120 \cdot - 576 {\cos (x)}^{7 + 3} - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.47.3

$7$ 를 $3$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) - 120 \cdot - 576 \cos^{10} (x) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.48

$- 120$ 에 $- 576$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 120 \cos^{3} (x) (432 \cos^{5} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.49

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 120 \cdot 432 \cos^{3} (x) \cos^{5} (x) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.50

지수를 더하여 $\cos^{3} (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.50.1

$\cos^{5} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 120 \cdot 432 (\cos^{5} (x) \cos^{3} (x)) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.50.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 120 \cdot 432 {\cos (x)}^{5 + 3} - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.50.3

$5$ 를 $3$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 120 \cdot 432 \cos^{8} (x) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.51

$- 120$ 에 $432$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) - 120 \cos^{3} (x) (- 120 \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.52

곱셈의 교환법칙을 사용하여 다시 씁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) - 120 \cdot - 120 \cos^{3} (x) \cos^{3} (x) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.53

지수를 더하여 $\cos^{3} (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

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단계 1.2.6.53.1

$\cos^{3} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) - 120 \cdot - 120 (\cos^{3} (x) \cos^{3} (x)) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.53.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) - 120 \cdot - 120 {\cos (x)}^{3 + 3} - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.53.3

$3$ 를 $3$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) - 120 \cdot - 120 \cos^{6} (x) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.54

$- 120$ 에 $- 120$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 120 \cos^{3} (x) (9 \cos (x)) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.55

지수를 더하여 $\cos^{3} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.55.1

$\cos (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 120 (\cos (x) \cos^{3} (x)) \cdot 9 + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.55.2

$\cos (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

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단계 1.2.6.55.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 120 (\cos^{1} (x) \cos^{3} (x)) \cdot 9 + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.55.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 120 {\cos (x)}^{1 + 3} \cdot 9 + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.55.3

$1$ 를 $3$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 120 \cos^{4} (x) \cdot 9 + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.56

$9$ 에 $- 120$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 \cos (x) (256 \cos^{9} (x)) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.57

지수를 더하여 $\cos (x)$ 에 $\cos^{9} (x)$ 을 곱합니다.

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단계 1.2.6.57.1

$\cos^{9} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 (\cos^{9} (x) \cos (x)) \cdot 256 + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.57.2

$\cos^{9} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.57.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 (\cos^{9} (x) \cos^{1} (x)) \cdot 256 + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.57.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 {\cos (x)}^{9 + 1} \cdot 256 + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.57.3

$9$ 를 $1$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 \cos^{10} (x) \cdot 256 + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.58

$256$ 에 $9$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) + 9 \cos (x) (- 576 \cos^{7} (x)) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.59

지수를 더하여 $\cos (x)$ 에 $\cos^{7} (x)$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 1.2.6.59.1

$\cos^{7} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) + 9 (\cos^{7} (x) \cos (x)) \cdot - 576 + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.59.2

$\cos^{7} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.59.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) + 9 (\cos^{7} (x) \cos^{1} (x)) \cdot - 576 + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.59.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) + 9 {\cos (x)}^{7 + 1} \cdot - 576 + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.59.3

$7$ 를 $1$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) + 9 \cos^{8} (x) \cdot - 576 + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.60

$- 576$ 에 $9$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 9 \cos (x) (432 \cos^{5} (x)) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.61

지수를 더하여 $\cos (x)$ 에 $\cos^{5} (x)$ 을 곱합니다.

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단계 1.2.6.61.1

$\cos^{5} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 9 (\cos^{5} (x) \cos (x)) \cdot 432 + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.61.2

$\cos^{5} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.61.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 9 (\cos^{5} (x) \cos^{1} (x)) \cdot 432 + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.61.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 9 {\cos (x)}^{5 + 1} \cdot 432 + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.61.3

$5$ 를 $1$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 9 \cos^{6} (x) \cdot 432 + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.62

$432$ 에 $9$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) + 9 \cos (x) (- 120 \cos^{3} (x)) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.63

지수를 더하여 $\cos (x)$ 에 $\cos^{3} (x)$ 을 곱합니다.

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단계 1.2.6.63.1

$\cos^{3} (x)$ 를 옮깁니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) + 9 (\cos^{3} (x) \cos (x)) \cdot - 120 + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.63.2

$\cos^{3} (x)$ 에 $\cos (x)$ 을 곱합니다.

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단계 1.2.6.63.2.1

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) + 9 (\cos^{3} (x) \cos^{1} (x)) \cdot - 120 + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.63.2.2

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) + 9 {\cos (x)}^{3 + 1} \cdot - 120 + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.63.3

$3$ 를 $1$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) + 9 \cos^{4} (x) \cdot - 120 + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.64

$- 120$ 에 $9$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 9 \cos (x) (9 \cos (x))) - 1$

단계 1.2.6.65

$9 \cos (x) (9 \cos (x))$ 을 곱합니다.

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단계 1.2.6.65.1

$9$ 에 $9$ 을 곱합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos (x) \cos (x)) - 1$

단계 1.2.6.65.2

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 (\cos^{1} (x) \cos (x))) - 1$

단계 1.2.6.65.3

$\cos (x)$ 를 $1$ 승 합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 (\cos^{1} (x) \cos^{1} (x))) - 1$

단계 1.2.6.65.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 {\cos (x)}^{1 + 1}) - 1$

단계 1.2.6.65.5

$1$ 를 $1$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 147456 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 147456 \cos^{16} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.7

$- 147456 \cos^{16} (x)$ 에서 $147456 \cos^{16} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 110592 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) + 331776 \cos^{14} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.8

$110592 \cos^{14} (x)$ 를 $331776 \cos^{14} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 442368 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 110592 \cos^{14} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.9

$442368 \cos^{14} (x)$ 를 $110592 \cos^{14} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 30720 \cos^{12} (x) + 2304 \cos^{10} (x) - 248832 \cos^{12} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.10

$- 30720 \cos^{12} (x)$ 에서 $248832 \cos^{12} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 279552 \cos^{12} (x) + 2304 \cos^{10} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) - 248832 \cos^{12} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.11

$- 279552 \cos^{12} (x)$ 에서 $248832 \cos^{12} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 528384 \cos^{12} (x) + 2304 \cos^{10} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 30720 \cos^{12} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.12

$- 528384 \cos^{12} (x)$ 에서 $30720 \cos^{12} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 2304 \cos^{10} (x) + 69120 \cos^{10} (x) - 5184 \cos^{8} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.13

$2304 \cos^{10} (x)$ 를 $69120 \cos^{10} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 71424 \cos^{10} (x) - 5184 \cos^{8} (x) + 186624 \cos^{10} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.14

$71424 \cos^{10} (x)$ 를 $186624 \cos^{10} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 258048 \cos^{10} (x) - 5184 \cos^{8} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) + 69120 \cos^{10} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.15

$258048 \cos^{10} (x)$ 를 $69120 \cos^{10} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 327168 \cos^{10} (x) - 5184 \cos^{8} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 2304 \cos^{10} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.16

$327168 \cos^{10} (x)$ 를 $2304 \cos^{10} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 5184 \cos^{8} (x) - 51840 \cos^{8} (x) + 3888 \cos^{6} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.17

$- 5184 \cos^{8} (x)$ 에서 $51840 \cos^{8} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 57024 \cos^{8} (x) + 3888 \cos^{6} (x) - 51840 \cos^{8} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.18

$- 57024 \cos^{8} (x)$ 에서 $51840 \cos^{8} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 108864 \cos^{8} (x) + 3888 \cos^{6} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) - 5184 \cos^{8} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.19

$- 108864 \cos^{8} (x)$ 에서 $5184 \cos^{8} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 114048 \cos^{8} (x) + 3888 \cos^{6} (x) + 14400 \cos^{6} (x) - 1080 \cos^{4} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.20

$3888 \cos^{6} (x)$ 를 $14400 \cos^{6} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 114048 \cos^{8} (x) + 18288 \cos^{6} (x) - 1080 \cos^{4} (x) + 3888 \cos^{6} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.21

$18288 \cos^{6} (x)$ 를 $3888 \cos^{6} (x)$ 에 더합니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 114048 \cos^{8} (x) + 22176 \cos^{6} (x) - 1080 \cos^{4} (x) - 1080 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.22

$- 1080 \cos^{4} (x)$ 에서 $1080 \cos^{4} (x)$ 을 뺍니다.

$1 + 2 (65536 \cos^{18} (x) - 294912 \cos^{16} (x) + 552960 \cos^{14} (x) - 559104 \cos^{12} (x) + 329472 \cos^{10} (x) - 114048 \cos^{8} (x) + 22176 \cos^{6} (x) - 2160 \cos^{4} (x) + 81 \cos^{2} (x)) - 1$

단계 1.2.23

분배 법칙을 적용합니다.

$1 + 2 (65536 \cos^{18} (x)) + 2 (- 294912 \cos^{16} (x)) + 2 (552960 \cos^{14} (x)) + 2 (- 559104 \cos^{12} (x)) + 2 (329472 \cos^{10} (x)) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24

간단히 합니다.

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단계 1.2.24.1

$65536$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) + 2 (- 294912 \cos^{16} (x)) + 2 (552960 \cos^{14} (x)) + 2 (- 559104 \cos^{12} (x)) + 2 (329472 \cos^{10} (x)) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.2

$- 294912$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 2 (552960 \cos^{14} (x)) + 2 (- 559104 \cos^{12} (x)) + 2 (329472 \cos^{10} (x)) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.3

$552960$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) + 2 (- 559104 \cos^{12} (x)) + 2 (329472 \cos^{10} (x)) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.4

$- 559104$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 2 (329472 \cos^{10} (x)) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.5

$329472$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) + 2 (- 114048 \cos^{8} (x)) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.6

$- 114048$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) - 228096 \cos^{8} (x) + 2 (22176 \cos^{6} (x)) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.7

$22176$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) - 228096 \cos^{8} (x) + 44352 \cos^{6} (x) + 2 (- 2160 \cos^{4} (x)) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.8

$- 2160$ 에 $2$ 을 곱합니다.

$1 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) - 228096 \cos^{8} (x) + 44352 \cos^{6} (x) - 4320 \cos^{4} (x) + 2 (81 \cos^{2} (x)) - 1$

단계 1.2.24.9

$81$ 에 $2$ 을 곱합니다.

단계 2

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단계 2.1

$1$ 에서 $1$ 을 뺍니다.

$0 + 131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) - 228096 \cos^{8} (x) + 44352 \cos^{6} (x) - 4320 \cos^{4} (x) + 162 \cos^{2} (x)$

단계 2.2

$0$ 를 $131072 \cos^{18} (x)$ 에 더합니다.

$131072 \cos^{18} (x) - 589824 \cos^{16} (x) + 1105920 \cos^{14} (x) - 1118208 \cos^{12} (x) + 658944 \cos^{10} (x) - 228096 \cos^{8} (x) + 44352 \cos^{6} (x) - 4320 \cos^{4} (x) + 162 \cos^{2} (x)$