Calculus Examples

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

Step 1

Apply pythagorean identity.

${(\sin^{2} (x))}^{2}$

Step 2

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

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Step 2.1

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

${\sin (x)}^{2 \cdot 2}$

Step 2.2

Multiply $2$ by $2$ .

$\sin^{4} (x)$