How to solve trigonometric equation with tangent

The video tutorial explains how to solve the equation 3*tan^2(x) - 1 = 0 over the interval 0 to 2π. It begins by simplifying the equation using inverse operations, similar to algebraic methods. The tutorial then focuses on finding the values of X that satisfy the equation by using the unit circle. The instructor identifies key angles where the tangent value equals ±√3/3, specifically at π/6, 5π/6, 7π/6, and 11π/6. The lesson concludes by summarizing the solutions found within one revolution of the unit circle.

What is the equation that needs to be solved in the given text?

Explain the process of solving the equation without the trigonometric function.

What is the result after applying inverse operations to the equation?

How do you find the value of X when given the tangent of X?

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

What points on the unit circle correspond to the values of ± sqrt 3 / 3?

List the angles that provide the tangent values of ± sqrt 3 / 3.