Solving a trigonometric equation with secant

The video tutorial demonstrates how to solve the equation secant squared of X minus secant of X equals 2. The instructor simplifies the equation by setting it to zero and factoring it. The solutions are found using the zero product property and evaluated using the unit circle. The tutorial also covers finding all possible solutions by adding coterminal angles. The process involves converting secant to its reciprocal function, cosine, for easier evaluation. The video concludes with a summary of the steps involved in solving trigonometric functions using the unit circle.

What are the two solutions for cosine of X equals 1/2 between 0 and 2π?

What is the significance of adding 2π to the solutions found?

Describe the process of evaluating trigonometric functions using the unit circle.