Prove an identity by adding two fractions

The video tutorial explores the concept of secant squared and its relation to the Pythagorean identity. It begins by identifying secant squared and discusses the need for common denominators when combining fractions. The tutorial then applies the Pythagorean identity to simplify expressions, demonstrating how 1 minus sine squared equals cosine squared. Finally, it verifies that one over cosine squared is equivalent to secant squared, reinforcing the understanding of trigonometric identities.

What does the identity sine squared plus cosine squared equal to, and how is it derived?

How can you verify that one over cosine squared is equal to secant squared?