Solve a trigonometric equations with secant and tangent

The video tutorial explains how to solve equations involving secant and tangent by using Pythagorean identities. It demonstrates converting secant squared to tangent squared and solving the resulting equation by combining like terms. The tutorial also covers finding tangent values on the unit circle and rationalizing the denominator to simplify expressions.

When do the coordinates on the unit circle yield a tangent of X equal to plus or minus radical 3 / 3?

What are the possible values of X when tangent of X equals radical 3 / 3?

Discuss the importance of considering both positive and negative values when taking the square root in trigonometric equations.