# High School Trigonometry/General Definitions of Inverse Trigonometric Functions

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General Definitions of Inverse Trig Functions [edit]

Ordinary trigonometric functions yield a value after inputting an angle(1). Inverse trignometric functions yield an angle after inputting a value(2).

1:

2:

As seen above, the notation for the inverse of a trigonometric function is to simply put the letters **arc** in front of the function name. Sometimes, just an **a** is used: **a**sin. It may also be represented by a superscripted -1 over the function. For example, sin^{-1}(x)

Inverse functions exist for all 6 trigonometric functions.

This material was adapted from the original CK-12 book that can be found here. This work is licensed under the Creative Commons Attribution-Share Alike 3.0 United States License