Based on the The Inverse Circular Functions write a response on In order for the inverse of a function to exist, the function must be a one-to-one function.  Sometimes a domain restriction is needed to ensure that a given function is a one-to-one function.  Describe what is means to be a one-to-one function.  Pick one of the three trigonometric functions, sine, cosine, or tangent, and state the domain and range of the original function, as well as the domain and the range of the corresponding inverse function.  What can be said about the domain and range of a function and its inverse?( 3 to 5 sentences)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
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Based on the The Inverse Circular Functions write a response on

In order for the inverse of a function to exist, the function must be a one-to-one function.  Sometimes a domain restriction is needed to ensure that a given function is a one-to-one function.  Describe what is means to be a one-to-one function.  Pick one of the three trigonometric functions, sine, cosine, or tangent, and state the domain and range of the original function, as well as the domain and the range of the corresponding inverse function.  What can be said about the domain and range of a function and its inverse?( 3 to 5 sentences)

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