# Establish the identity. ((cot^2 x)/(csc(x)-1)) = (1+sin(x))/(sin(x)) = ____________________ Could someone explain to me how to solve this?

##### 1 Answer

Aug 3, 2018

Follow proof below.

#### Explanation:

We have:

One of the Pythagorean identities is

We can rearrange it to get:

Let's apply this rearranged identity to our proof:

The numerator is the difference of two squares, and can be factorised as:

Now, one of the standard trigonometric identities is

Applying this, we get: