Simplify expressions using fundamental identities

The video tutorial explains how to simplify a trigonometric expression involving secant squared of X minus 1. The instructor uses Pythagorean identities and trigonometric identities to transform the expression into a simpler form. The process involves substituting secant squared of X minus 1 with tangent squared of X and further simplifying using quotient identities. The final result is the sine squared of X. The tutorial concludes with a call to action for viewers to subscribe.

Explain the process of simplifying secant squared of X - 1.

What identity relates secant squared of X and tangent squared of X?

What is the simplified form of cosine squared of X times tangent squared of X?

How can you express tangent squared of X in terms of sine and cosine?

What is the final simplified solution derived from the expression discussed?