Prove that (1+cot2A)/Sin2A = Cos A

Question

(1+Cot2A)/Sin2A = cos A

Answer 1

This is NOT an identity.

 

For example, if A = π/4, cosA = √2/2

 

But, (1+cot(2A)) / sin(2A) = (1+0) / 1 = 1