What is the definition of the inverse sine function

The video tutorial explains the concept of the inverse sine function, starting with its definition and how it relates to the sine function. It covers the process of finding the inverse algebraically by swapping variables and solving for y. The tutorial then demonstrates graphing the sine function, reflecting it over the XY line, and the challenges involved. It concludes with graphing the inverse sine function, highlighting the importance of domain and range restrictions to ensure it remains a function.

What happens if the graph of the inverse sine function is not restricted properly?

What are the restrictions placed on the domain and range of the inverse sine function?

Explain why the inverse sine function must be restricted to a certain range to remain a function.