How to verify a trigonometric identity by factoring

The video tutorial explains how to manipulate and simplify trigonometric equations using identities. It begins with identifying the need to rewrite equations in terms of sine and cosine, then demonstrates how to simplify by eliminating cosine squared using the identity sine squared plus cosine squared equals one. The tutorial concludes with a step-by-step manipulation to achieve a simplified equation.

Explain the significance of the identity 'cosine squared plus sine squared equals one' in the context of the discussion.

What does the teacher suggest to do with the cosine squared term in the equation?

What is the relationship between cosine squared and sine squared as mentioned in the text?

How can you manipulate the equation involving cosine squared and sine squared to simplify it?

What conclusion does the teacher reach about manipulating equations involving trigonometric identities?