How does domain restrictions affect the inverse of trig composition

The video tutorial explains the composition of inverse functions, focusing on cosine. It begins with evaluating the cosine of π/4 and its inverse, highlighting the importance of domain restrictions. The instructor then provides an example using cosine of 5π/4, demonstrating reflections about the axes. The tutorial concludes by discussing negative cosine values and their domain restrictions, emphasizing the need to understand these concepts for accurate evaluations.

What is the cosine of π/4?

• 0

• 1

• -sqrt(2)/2

• sqrt(2)/2

What angle does the inverse cosine of sqrt(2)/2 return?

• π/2

• π/4

• 3π/4

• 5π/4

Why do inverse functions not always undo each other?

• Because they are not differentiable

• Because of domain restrictions

• Because they are not integrable

• Because they are not continuous

What is the cosine of 5π/4?

• 1

• -sqrt(2)/2

• sqrt(2)/2

• 0

Which quadrant is the angle 3π/4 located in?

• Second

• First

• Fourth

• Third