Master composing inverse trig functions

The video tutorial explains how to evaluate inverse trigonometric functions using triangles. It covers the process of finding secant and cosine values for specific angles, including those with negative values, without relying on Pythagorean triples. The instructor demonstrates how to construct right triangles and apply the Pythagorean theorem to solve for unknown sides, ultimately leading to the calculation of trigonometric functions.

Describe the steps to rationalize the denominator when calculating the secant of an angle.

What are the implications of using negative angles in trigonometric functions, particularly for cosine?

How can you simplify the square root of 8 without using a calculator, and what is the significance of this simplification in trigonometric evaluations?