The Inverse Sine Function - Concept

Concept Concept (1)

Since sine is not a one-to-one function, the domain must be limited to -pi/2 to pi/2, which is called the restricted sine function. The inverse sine function is written as sin^-1(x) or arcsin(x). Inverse functions swap x- and y-values, so the range of inverse sine is -pi/2 to /2 and the domain is -1 to 1. When evaluating problems, use identities or start from the inside function.

Sample Sample Problems (3)

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The Inverse Sine Function - Problem 1
Problem 1
How to define the inverse sine function.
The Inverse Sine Function - Problem 2
Problem 2
How to use apply the inverse identities for sine.
The Inverse Sine Function - Problem 3
Problem 3
How to graph a simple transformation of y = sin^-1 x