Trigonometry Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Factor $\cos (x)$ out of $\cot (x) \cos (x)$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\sin (x) \cot (x)$

Step 3

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

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Step 3.1

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

$\cot (x) \sin (x)$

Step 3.2

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

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

Step 3.3

Cancel the common factors.

$\cos (x)$