Verify an identity with double angle identities

The video tutorial explores different trigonometric identities for solving problems involving cosine of 2X. It begins with an introduction to the problem and discusses the choice of identities. The instructor recommends starting with the cosine squared minus sine squared identity, explaining its application. The video then explores the sine squared identity and its use, followed by a discussion on alternative methods and their complexities.

What is the recommended starting point for solving the cosine of 2X?

What is the significance of keeping the same signs and cosines when solving trigonometric identities?

Explain why it doesn't make sense to convert cosine of 2X into terms of sine.

Describe the process of changing sine squared of X into another form.

What is the relationship between sine squared of X and cosine squared of X?