The Inverse Tangent Function - Concept

Concept Concept (1)

Since tangent is not a one-to-one function, the domain must be limited to -pi/2 to pi/2, which is called the restricted tangent function. The graph of the inverse tangent function is a reflection of the restricted tangent function over y = x. Note that the vertical asymptotes become horizontal, at y = pi/2 and y = -pi/2, and the domain and ranges swap for the inverse function.

Sample Sample Problems (3)

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The Inverse Tangent Function - Problem 1
Problem 1
How to define the inverse tangent function.
The Inverse Tangent Function - Problem 2
Problem 2
How to use apply the inverse identities for tangent.
The Inverse Tangent Function - Problem 3
Problem 3
How to graph a simple transformation of y = tan^-1(x)