Learn how to find multiple solutions to a trigonometric equation

The video tutorial explains how to solve a trigonometric equation involving cosine squared of 2X. The teacher demonstrates the process of adding and dividing terms to simplify the equation, and then finding solutions for 2X within the range of 0 to 2π. The lesson includes identifying initial solutions and exploring additional solutions by considering the periodic nature of the trigonometric function. The teacher emphasizes understanding the difference between angles and how to find all possible solutions by adding π/4 increments.

What is the first step in solving the equation Cosine squared of 2X = 1/2?

List all the angles that satisfy the equation 2X = π/4, 3π/4, 5π/4, and 7π/4.

How do you find the solutions for X after determining the values for 2X?

Explain the significance of adding π/4N to find additional solutions in the context of this problem.

What is the final solution set for the equation discussed in the video?