Evaluate the six trigonometric functions for the given real number

The video tutorial explains how to evaluate six trigonometric functions for an angle in the third quadrant. It begins with positioning the angle on the unit circle and identifying the corresponding coordinate points. The tutorial then covers calculating sine, cosine, and tangent values, followed by their reciprocal functions: cosecant, secant, and cotangent. The process includes rationalizing denominators and understanding reflections on the unit circle.

Explain how to evaluate the sine, cosine, and tangent for the angle -2π/3.

What steps are involved in rationalizing the denominator when calculating cosecant for the angle -2π/3?