Simplifying an expression using the difference of two angles with sine

The video tutorial guides students through solving a trigonometric problem by identifying and applying the correct formula. It begins with recognizing the components of the problem and matching them to the sine addition formula. The instructor then demonstrates how to simplify the expression by substituting values and working backwards from the formula. The lesson concludes with a reflection on the process, emphasizing the importance of understanding and applying mathematical identities.

Explain the process of working backwards from formulas in trigonometric problems.

What does the teacher imply about their own understanding of the topic?