How to find all of the solutions of an equation with the triple angle of tangent

The video tutorial explains how to solve a trigonometric problem involving tangent and the unit circle. It begins by identifying the first solution where the tangent of an angle equals one, using the unit circle. The tutorial then explores additional solutions and generalizes the solution for all real numbers. Finally, it demonstrates how to find solutions within a specific range, such as between 0 and 2π, by substituting different values into the general solution formula.

What is the significance of the unit circle in determining the tangent values?

How can you simplify the expression for the solutions of 3X = π/4 + πN?