How to simplify a trigonometric expression by factoring out your GCF

The video tutorial explains the process of factoring expressions by identifying common terms, specifically focusing on sine squared. It then demonstrates how to simplify these expressions using trigonometric identities, such as converting cosecant squared minus one into cotangent squared. The tutorial further simplifies the expression by rewriting cotangent squared as cosine squared over sine squared, ultimately simplifying it to cosine squared. The goal is to make the expression as simple as possible while applying known mathematical rules and identities.

What is the first step taken to simplify the expression involving sine squared and cosecant squared?

Explain how sine squared times cosecant squared relates to the original expression.

What trigonometric identity is used to simplify cosecant squared of X minus 1?

How can cotangent squared be rewritten in terms of sine and cosine?

What is the final simplified expression obtained after canceling out terms?