Exam Review How to determine the number of solutions for a trigonometric equation

The video tutorial explains how to solve a trigonometric equation involving cosine terms by treating it like a quadratic equation. The instructor demonstrates factoring the equation and applying the zero product property to find solutions. The solutions are analyzed using both the unit circle and graphical approaches, considering constraints between 0 and 2π. The tutorial concludes with identifying three solutions, emphasizing the importance of understanding cosine values and their graphical representation.

What graphical approach can be used to find the solutions of the cosine equation?

How many solutions exist for the equation cosine of X = 2/3 within the interval 0 to 2π?