Multiplying by your conjugate to simplify a rational trigonometric expression

The video tutorial addresses common mistakes students make with trigonometric identities, particularly focusing on the misuse of Pythagorean identities. It guides viewers through transforming an expression by multiplying by the conjugate to simplify it. The tutorial emphasizes the importance of correctly applying identities and demonstrates the process of simplifying a trigonometric expression step-by-step.

What is the significance of multiplying by the conjugate in the context of the given problem?

Describe the final expression obtained after simplifying the original problem discussed in the text.