Precalculus Examples

$\cos (x) (\tan (x) \cot (x))$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Reorder $\tan (x)$ and $\cot (x)$ .

$\cos (x) (\cot (x) \tan (x))$

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\cos (x) \cdot 1$

Step 2

Multiply $\cos (x)$ by $1$ .

$\cos (x)$