Calculus Examples

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

Step 1

Apply pythagorean identity.

${(\cos^{2} (x))}^{3}$

Step 2

Multiply the exponents in ${(\cos^{2} (x))}^{3}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${\cos (x)}^{2 \cdot 3}$

Step 2.2

Multiply $2$ by $3$ .

$\cos^{6} (x)$