How to simplify a trig expression

The video tutorial explains how to simplify trigonometric expressions by rewriting them in terms of sines and cosines. It demonstrates the use of quotient and Pythagorean identities to combine and simplify fractions, ultimately arriving at a single trigonometric identity. The tutorial emphasizes the importance of common denominators when adding or subtracting fractions and concludes with the final expression in terms of secant.

What does sine squared plus cosine squared equate to according to Pythagorean identities?

What is one over cosine equivalent to?