Pronunciation: /ɑrk koʊˈtæn dʒənt/ ?

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

An arccotangent is an angle whose cotangent is a particular value. The arccotangent is a trigonometric functions. The arccotangent is the functional inverse of the cotangent. 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.

More Information

  • McAdams, David. Cotangent. Life is a Story Problem LLC. 2010-08-07.
  • McAdams, David. Inverse of a Function. Life is a Story Problem LLC. 2010-08-07.

Cite this article as:

Arccotangent. 2010-08-07. All Math Words Encyclopedia. Life is a Story Problem LLC.

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Revision History

2010-08-07: Initial version (McAdams, David.)

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