Factor and use fundamental identities to simplify

The video tutorial explains how to simplify a trigonometric expression by factoring. It begins with an introduction to the problem, followed by rewriting the expression to make factoring easier. The instructor then demonstrates how to factor the expression using algebraic methods and applies trigonometric identities to solve the problem. The lesson concludes with a verification of the solution and a summary of the process.

Describe the relationship between cosine squared and sine squared as mentioned in the text.

What are the steps taken to verify the final answer in the problem?