Learn how to write all of the solutions to a trigonometric equation

The video tutorial covers the process of factoring trigonometric expressions by substituting variables, specifically replacing sine with X, and then solving using the zero product property. The instructor explains how to find solutions for trigonometric equations within a specified range, using coordinate points and angles. The tutorial emphasizes understanding the use of variables and the importance of the zero product property in solving equations. The instructor also discusses the concept of reflections and how to find all possible solutions by considering the periodic nature of trigonometric functions.

How do you replace sine with X in the context of the problem?

What is the process to factor the equation mentioned in the text?

What is the significance of the zero product property in solving the equation?

Explain how to find all solutions between 0 and 2π for the given problem.

What are the coordinates when the Y coordinate is equal to -1?

How do you determine the angles corresponding to sine being equal to 1/2?

What are the final solutions for X as derived from the problem?