Precalculus Examples

$\frac{\sin (- x)}{\tan (- x)}$

Step 1

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

$\frac{- \sin (x)}{\tan (- x)}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

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

$\frac{- \sin (x)}{- \tan (x)}$

Step 2.2

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

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

Step 3

Dividing two negative values results in a positive value.

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

Step 4

Multiply the numerator by the reciprocal of the denominator.

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

Step 5

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

Tap for more steps...

Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$\cos (x)$