Evaluate for Theta Between 0 and 2pi

The video tutorial explains how to evaluate the tangent of an angle, focusing on the unit circle and the ratio of the Y coordinate over the X coordinate. It discusses both positive and negative tangent values, evaluates angles using π/6 and π/3, and determines which quadrants result in negative tangent values. The tutorial concludes by summarizing the process of evaluating angles within the constraints of 0 and 2π.

Explain the process of rationalizing the denominator when simplifying the tangent function.

What are the two angles where the tangent is negative?