Pronunciation: /ɑɹk.koʊˈtæn.dʒənt/ Explain
Abbreviations: acot, arccot

A right triangle. One of the angles that is not the right angle is labeled 'theta'. The side opposite theta is labeled 'opposite'. The side adjacent theta that is not the hypotenuse is labeled 'adjacent'. Underneath the figure is the equation 'cot^(-1)(adjacent/opposite) = theta'.
Figure 1: Arccotangent

The arccotangent function returns an angle whose cotangent is a particular value. The arccotangent is a trigonometric function. The arccotangent is the functional inverse of the cotangent function. If adjacent/opposite = cot(θ) then cot-1(adjacent/opposite) = θ. Arccotangent is written arccot or cot-1.

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


  1. McAdams, David E.. All Math Words Dictionary, arccotangent. 2nd Classroom edition 20150108-4799968. pg 18. Life is a Story Problem LLC. January 8, 2015. Buy the book

More Information

  • McAdams, David E.. Cotangent. Life is a Story Problem LLC. 6/19/2018.

Cite this article as:

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

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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. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)

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