Precalculus Examples

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

Step 1

Rewrite $\tan (x)$ in terms of sines and cosines.

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

Step 2

Apply the product rule to $\frac{\sin (x)}{\cos (x)}$ .

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

Step 3

Cancel the common factor of $\cos^{2} (x)$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\sin^{2} (x)$