# How do you simplify the expression cot2x + 1?

We have to simpliy the expression 1+cot2x

### Solution

Expressing the given expression in terms of sin and cos

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

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

= $\frac{1}{\sin ^{2}x}= csc^{2}x$