How to use the pythagorean identities to simplify a trigonometric expression

The video tutorial discusses transforming trigonometric expressions, focusing on converting secant squared to tangent squared using trigonometric identities. The instructor emphasizes the importance of rewriting expressions in terms of sine and cosine for simplification. The process involves using the identity secant squared equals one plus tangent squared, allowing the expression to be simplified to sine squared. The tutorial highlights the ease of canceling terms when expressions are in sine and cosine form.

What happens to cosine squared of X when you apply the identity involving tangent?

Discuss the importance of knowing trigonometric identities in solving problems.