Trigonometry Examples

$\csc (- x) \cos (x)$

Step 1

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

$- \csc (x) \cos (x)$

Step 2

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

$- \frac{1}{\sin (x)} \cos (x)$

Step 3

Combine $\cos (x)$ and $\frac{1}{\sin (x)}$ .

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

Step 4

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

$- \cot (x)$