Adding two rational expressions to verify a trigonometric identity

The video tutorial explains how to verify a trigonometric identity by working through the process of adding rational terms with common denominators, multiplying, and simplifying the expression. The tutorial guides the viewer step-by-step to reach the conclusion that the given identity is valid.

How can you simplify the expression obtained after combining the numerators?

What is the final result of the identity verification process described in the text?