What is the definition of the inverse cosine function

The video tutorial explains the inverse cosine function, starting with its definition and algebraic approach. It then explores the graphical representation by reflecting the cosine graph over the XY line and swapping coordinates. Key points on the graph are identified, and the importance of domain and range restrictions is discussed to ensure the inverse cosine remains a function.

What is the definition of the inverse cosine function?

How do we find the inverse of a function algebraically?

What is the significance of the critical points in the cosine graph when determining the inverse cosine?

Explain how to reflect the graph of the cosine function to find the inverse cosine graph.

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