How to solve a trig equation with square roots

The video tutorial explains how to solve a trigonometric equation involving cosine. It begins with isolating the trigonometric function and solving the equation by taking the square root, ensuring to consider both positive and negative solutions. The instructor then uses the unit circle to identify possible angle solutions and demonstrates how to simplify these solutions by recognizing coterminal angles. The tutorial emphasizes understanding the distance between angles and how to represent solutions efficiently.

What is the process to isolate cosine squared of X in the equation 4 cosine squared of X = 1?

Explain the significance of including both the positive and negative square roots when solving for cosine of X.

How do you determine the angles corresponding to the cosine values of ±1/2 on the unit circle?

What is the relationship between the angles π/3 and 2π in terms of coterminal angles?

Describe a simpler method to express multiple angles derived from a trigonometric equation.