Master composing inverse trig functions using right triangles

The video tutorial explains how to evaluate the composition of trigonometric functions and their inverses. It covers the use of the unit circle and triangles to find angles, emphasizing the importance of understanding the range of sine, cosine, and tangent functions. The tutorial demonstrates how to handle both positive and negative values in trigonometric functions, using the Pythagorean theorem and Pythagorean triples to solve for unknown sides of triangles. The video concludes with examples of evaluating inverse trigonometric functions and their compositions.

Describe how to use a triangle to evaluate the sine of an angle when the angle is not on the unit circle.

How does the tangent inverse function represent an angle, and what is its range?

What steps would you take to evaluate the tangent of an angle given its opposite and adjacent sides?