Trigonometry Examples

$\tan (- x) \cos (x) + \sin (x)$

Step 1

Simplify each term.

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Step 1.1

Since $\tan (- x)$ is an odd function, rewrite $\tan (- x)$ as $- \tan (x)$ .

$- \tan (x) \cos (x) + \sin (x)$

Step 1.2

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

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Step 1.2.1

Add parentheses.

$- (\tan (x) \cos (x)) + \sin (x)$

Step 1.2.2

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

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

Step 1.2.3

Cancel the common factors.

$- \sin (x) + \sin (x)$

Step 2

Add $- \sin (x)$ and $\sin (x)$ .

$0$