Simplify expressions using fundamental identities

The video tutorial explains how to simplify trigonometric expressions by factoring them using the difference of two squares. It begins by rewriting trigonometric terms as non-trigonometric terms and then applies trigonometric identities, particularly the Pythagorean identity, to simplify the expression further. The process involves substituting secant and tangent terms and simplifying the resulting expression to reach the final answer.

What steps are involved in simplifying the expression involving secant squared and tangent squared?

What is the final simplified form of the expression discussed in the video, and how did you arrive at that conclusion?