# How to simplify sin x cot x?

May 2, 2017

$\cos x$

#### Explanation:

$\cot x$ can be rewritten as $\cos \frac{x}{\sin} x$

So we can rewrite our problem as:

$\textcolor{red}{\sin x} \left(\cos \frac{x}{\textcolor{red}{\sin x}}\right)$

The $\sin x$ cancels leaving $\cos x$