Verifying an identity by applying the Pythagorean identities

The video tutorial explains how to solve a trigonometric equation involving secant and tangent functions. The instructor begins by choosing the more complex side of the equation to simplify, using trigonometric identities to express tangent in terms of secant. The process involves rewriting the expression to eliminate tangent, applying the distributive property, and verifying the solution. The tutorial emphasizes understanding the relationship between trigonometric functions and simplifying expressions to match both sides of the equation.

What is the relationship between tangent squared of X and secant squared of X?

Explain the process of rewriting tangent in terms of secant squared.

How do you apply the distributive property in the context of trigonometric functions?

What does secant squared of X times secant squared of X equal?

Describe the final verification step in the process of proving the identity.