Pronunciation: /ɑɹkˈtæn.dʒənt/ Explain
Abbreviations: atan, arctan

Figure 1: Arctangent.

The arctangent function returns the angle whose tangent is the given value. The arctangent is a trigonometric function. The arctangent is the functional inverse of the tangent function. If tangent(θ) = opposite/adjacent then tangent-1(opposite/adjacent) = θ. Arctangent is written arctan or tan-1.

Definition: y = tan-1 x if and only if x = tan y.


  1. McAdams, David E.. All Math Words Dictionary, arctangent. 2nd Classroom edition 20150108-4799968. pg 19. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Arctangent. 4/12/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

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Revision History

4/12/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/15/2018: Removed broken links, updated license, implemented new markup, expanded article. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)

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