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