Evaluate the difference of two angles for sine

The video tutorial explains how to evaluate angles using sum and difference identities, emphasizing the importance of understanding the unit circle. It covers techniques for simplifying expressions, factoring, and multiplying, and highlights the need for algebraic manipulation to solve equations. The tutorial provides multiple methods for solving problems, encouraging flexibility in mathematical thinking.

What are the possible forms of the final answer when simplifying trigonometric expressions?

How can you manipulate equations using algebra when dealing with trigonometric identities?

In what ways can the final expression be represented, and what should be considered for clarity?