# Simplify (1+cos2x)/(sin2x)?

Jan 3, 2017

Express $\cos 2 x$ and $\sin 2 x$ in terms of $\cos x$ and $\sin x$ and simplify. Details see below.

#### Explanation:

$\frac{1 + \cos 2 x}{\sin 2 x}$

= $\frac{1 + 2 {\cos}^{2} x - 1}{2 \sin x \cos x}$

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

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

= $\cot x$