Verify an identity by converting to a monomial denominator

The video tutorial demonstrates how to verify a trigonometric identity by choosing which side to simplify, focusing on converting expressions to monomial denominators, and using Pythagorean identities. The process involves multiplying by conjugates, simplifying using trigonometric identities, and rewriting expressions in terms of sine and cosine to achieve equivalence.

Describe the process of rewriting cosecant squared in terms of cotangent squared.

What is the final expression obtained after simplifying the trigonometric identity?