prove the identity:

Question

csc x-1/csc x+1 = cot^x/csc^x+2 csc x+1

Answer 1

I tried your "identity" with some random angle and the left side did not equal to the right side, the way you typed the equation.
So unless we know the order of operation there is no point in attempting to prove it true.
Please insert brackets in the correct places.