Simple method that helps to prove an identity when nothing else works

The video tutorial explores the simplification of trigonometric expressions. It begins by discussing the complexity of trigonometric functions and the importance of making the left side of an equation look like the right side. The teacher explains how multiplying the same value in the numerator and denominator of a fraction does not change its value. The tutorial then delves into multiplying trigonometric functions, such as sine and cotangent, and simplifying expressions using trigonometric identities, including the Pythagorean identity. The session concludes with a simplified expression, demonstrating a more straightforward approach compared to previous problems.

Can you explain the relationship between sine, cosecant, and the Pythagorean identity mentioned?

What is the result of the expression sine of X plus cosine of X over cosine squared of X?