Simplifying a trigonometric expression by converting to sines and cosines

The video tutorial addresses common mistakes students make when simplifying trigonometric expressions. It emphasizes that not all functions need conversion and highlights the importance of strategic simplification using quotient identities. The tutorial demonstrates how to simplify expressions effectively, resulting in a more manageable form, and explains that sometimes expressions cannot be simplified to a single trigonometric function or number.

Describe the process of rewriting cotangent and tangent in terms of sine and cosine.

What should be the goal when simplifying trigonometric expressions, according to the teacher?