Simplifying a rational trigonometric identity

The video tutorial explains how to simplify rational expressions using conjugates and trigonometric identities. It begins with a detailed explanation of the long method, involving multiplying by the conjugate to eliminate terms in the denominator. The tutorial then introduces trigonometric identities to further simplify the expression. Finally, a shorter method is presented, demonstrating a more efficient approach to achieving the same result.

What is the first step to simplify a rational expression according to the teacher?

Explain how to eliminate a cosine from the denominator in a rational expression.

What is the result of multiplying a number by its conjugate?

How can sine squared be rewritten in terms of cosine squared?

What is the final simplified expression derived from the problem discussed?