Precalculus Examples

$(1 - \sin^{2} (w)) \cos (w)$

Step 1

Apply pythagorean identity.

$\cos^{2} (w) \cos (w)$

Step 2

Multiply $\cos^{2} (w)$ by $\cos (w)$ by adding the exponents.

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Step 2.1

Multiply $\cos^{2} (w)$ by $\cos (w)$ .

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Step 2.1.1

Raise $\cos (w)$ to the power of $1$ .

$\cos^{2} (w) \cos^{1} (w)$

Step 2.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\cos (w)}^{2 + 1}$

Step 2.2

Add $2$ and $1$ .

$\cos^{3} (w)$