Using triangles to evaluate for compositions of inverse functions

The video tutorial explains how to create triangles when dealing with angles not on the unit circle, emphasizing the importance of staying within the range of inverse functions. It covers the properties of tangent, including its range and how to determine the correct triangle placement. The tutorial then applies the Pythagorean theorem to solve for triangle sides and evaluates the secant by using the reciprocal of cosine. The process involves using arctan to create the correct triangle and then evaluating for secant.

What is the significance of creating a triangle when working with tangent functions?

Explain the importance of the range when using inverse functions.

How do you determine which side of a triangle is negative when calculating tangent?

What are the conditions for a triangle to fall within the range of tangent?

Describe how to use the Pythagorean theorem in the context of finding the secant.

What is the relationship between secant and cosine?

How do you evaluate for the inverse of tangent using a triangle?