Simplify cot(x)sec(x)

$\cot (x) \sec (x)$

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

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

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

Cancel the common factors.

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

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\csc (x)$