Write an expression as a single trig function of an angle using sum and difference form

The video tutorial explains how to solve a trigonometric problem by identifying and applying the sine difference formula. The instructor begins by introducing the problem and its similarity to another example. They guide the students through identifying the correct formula by eliminating other trigonometric identities. The application of the sine difference formula is demonstrated, and the problem is solved by calculating the sine of the difference between two angles. The tutorial concludes with a summary of the steps involved in the process.

What is the main task the teacher is asking the students to do in the example?

How does the teacher suggest relating the current problem to previous examples?

What are the sum and difference formulas mentioned in the text?

What does the teacher conclude about the signs in the equation?

What is the final expression the teacher arrives at after the calculations?