Algebra Examples

$- 558 \sin (186) (0.002) \sin (186) (0.002) + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1

Simplify each term.

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Step 1.1

Evaluate $\sin (186)$ .

$- 558 \cdot - 0.10452846 \cdot 0.002 \sin (186) \cdot 0.002 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.2

Multiply $- 558 \cdot - 0.10452846 \cdot 0.002$ .

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Step 1.2.1

Multiply $- 558$ by $- 0.10452846$ .

$58.3268825 \cdot 0.002 \sin (186) \cdot 0.002 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.2.2

Multiply $58.3268825$ by $0.002$ .

$0.11665376 \sin (186) \cdot 0.002 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.3

Evaluate $\sin (186)$ .

$0.11665376 \cdot - 0.10452846 \cdot 0.002 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.4

Multiply $0.11665376 \cdot - 0.10452846 \cdot 0.002$ .

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Step 1.4.1

Multiply $0.11665376$ by $- 0.10452846$ .

$- 0.01219363 \cdot 0.002 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.4.2

Multiply $- 0.01219363$ by $0.002$ .

$- 0.00002438 + 558 \cos (186) (0.002) \cos (186) (0.002)$

Step 1.5

Evaluate $\cos (186)$ .

$- 0.00002438 + 558 \cdot - 0.99452189 \cdot 0.002 \cos (186) \cdot 0.002$

Step 1.6

Multiply $558 \cdot - 0.99452189 \cdot 0.002$ .

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Step 1.6.1

Multiply $558$ by $- 0.99452189$ .

$- 0.00002438 - 554.94321761 \cdot 0.002 \cos (186) \cdot 0.002$

Step 1.6.2

Multiply $- 554.94321761$ by $0.002$ .

$- 0.00002438 - 1.10988643 \cos (186) \cdot 0.002$

Step 1.7

Evaluate $\cos (186)$ .

$- 0.00002438 - 1.10988643 \cdot - 0.99452189 \cdot 0.002$

Step 1.8

Multiply $- 1.10988643 \cdot - 0.99452189 \cdot 0.002$ .

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Step 1.8.1

Multiply $- 1.10988643$ by $- 0.99452189$ .

$- 0.00002438 + 1.10380636 \cdot 0.002$

Step 1.8.2

Multiply $1.10380636$ by $0.002$ .

$- 0.00002438 + 0.00220761$

Step 2

Add $- 0.00002438$ and $0.00220761$ .

$0.00218322$