How to verify an identity by combining two rational expressions

The video tutorial explains how to simplify rational expressions by combining terms with common denominators. It demonstrates the use of trigonometric identities and the FOIL method to simplify expressions. The tutorial concludes with verifying the simplified expression and emphasizes the importance of showing steps in mathematical work.

What is the significance of showing steps when working on the left side of an equation?

How can you verify that the expression simplifies to cosecant squared of X?