Solving trigonometric equations

The video tutorial explains how to solve the trigonometric equation 2sin²(X) + 3sin(X) + 1 = 0. It begins by discussing the need to factor the equation due to its quadratic form. The instructor demonstrates factoring the equation and applying the zero product property to find solutions. The unit circle is used to identify specific angles where the sine function equals -1 or -1/2. Finally, the tutorial covers finding all possible solutions by considering coterminal angles, emphasizing the periodic nature of the sine function.

Describe the process of using the unit circle to find the values of X for sine of X = -1.

How do you find all coterminal angles for the solutions of sine of X = -1?