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 in factoring the given trigonometric expression?

• Identify and factor out the common term

• Multiply the terms

• Add a constant to the expression

• Use the Pythagorean identity

Which trigonometric identity is used to simplify cosecant squared minus one?

• Tangent squared

• Cotangent squared

• Sine squared

• Secant squared

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

• Sine squared over tangent squared

• Tangent squared over sine squared

• Cosine squared over sine squared

• Sine squared over cosine squared

What is the final simplified form of the expression after all transformations?

• Sine squared

• Cosecant squared

• Cosine squared

• Tangent squared

Why is it important to simplify trigonometric expressions?

• To make them more complex

• To make calculations easier and more efficient

• To avoid using identities

• To increase the number of terms