Precalculus Examples

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

Step 1

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

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

Step 2

Cancel the common factor of $\cos (x)$ .

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Step 2.1

Factor $\cos (x)$ out of $\cos^{2} (x)$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\sin (x) \cos (x)$

$\sin (x) \cos (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$