Solving a trig function with sine and cosine

The video tutorial explains how to solve a trigonometric equation involving sine and cosine on the interval of 0 to 2π. The instructor demonstrates the use of Pythagorean identities to combine different trigonometric functions into a single function, allowing for the equation to be solved. The process includes transforming cosine into sine, combining like terms, and using the unit circle to find all possible solutions for the equation. The tutorial also includes a brief classroom interruption.

What are the values of X that equal ± sqrt 3 / 2?

What steps are taken to find the angles corresponding to the sine values mentioned?

List the four separate solutions for X on the interval of 0 and 2π.