How to evaluate the composition of inverse functions

The video tutorial explains the concept of inverse operations using basic arithmetic examples, such as subtracting to undo addition. It then applies this understanding to trigonometric functions, specifically arcsine and sine, which undo each other. The tutorial addresses a problem involving arcsine of sine of 5π/3, highlighting the importance of ensuring results fall within the correct range. To resolve this, the concept of coterminal angles is introduced, demonstrating how to adjust angles to fit within the required range.

Explain the concept of inverse operations as mentioned in the text.

What is the relationship between arcsine and sine as discussed in the text?

What is the significance of the range for the sine function in this context?

How do you determine if an angle is within the acceptable range for sine?

Why do we need to find coterminal angles when dealing with the sine function?