Evaluating the composition of Functions

The video tutorial explains how to find the composition of cosine and cosine inverse of pi. It begins by evaluating the innermost function, which is the inverse of pi. The instructor highlights that cosine of theta equals pi is not possible because pi is not within the domain of the inverse cosine function. The domain for inverse cosine requires input values between -1 and 1, and since pi does not meet this criterion, the composition is deemed undefined.

What is the first step in evaluating the composition of cosine of cosine inverse pi?

How does the unit circle help in determining the values of angles for the cosine function?

Why is the value of pi not within the domain of the inverse cosine function?

What range must input values fall within for the inverse cosine function?

What does it mean when the composition of cosine of cosine inverse pi is said to be undefined?