# How do you verify sin x + cos x times cot x = csc x?

May 4, 2016

see below

#### Explanation:

Left Side:$= \sin x + \cos x \times \cos \frac{x}{\sin} x$

$= \frac{{\sin}^{2} x + {\cos}^{2} x}{\sin} x$

$= \frac{1}{\sin} x$

$= \csc x$

$=$Right Side