Solving for cosine using multiple angles

The video tutorial explains how to solve the equation cosine of 2X equals 1/2. It begins by identifying the angles on the unit circle where cosine equals 1/2, specifically π/3 and 5π/3. The instructor then graphs the cosine function to visualize these solutions and discusses how to find all possible solutions by considering the periodic nature of the cosine function. The tutorial concludes by calculating the distances between solutions and finalizing the solution for X, emphasizing the importance of understanding the unit circle and graphing techniques.

What is the value of cosine when it equals 1/2?

What is the significance of the unit circle in solving cosine equations?

Identify the two angles where cosine equals 1/2.

Discuss the periodic nature of the cosine function and its implications.

How do you represent every single solution for cosine equations?

Explain how to find all solutions for cosine 2X = 1/2.

What is the final solution for X when solving for cosine 2X = 1/2?