Arccosecant

Pronunciation: /ɑrk koʊˈsi kænt/ ?

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 opposite the right angle is labeled 'hypotenuse'. Underneath the figure is the equation 'csc^(-1)(hypotenuse/opposite) = theta'.
Figure 1: Arccosecant

An arccosecant is an angle whose cosecant is a particular value. The arccosecant is a trigonometric function. The arccosecant is the functional inverse of the cosecant. If hypotenuse/opposite = csc(θ) then csc-1(hypotenuse/opposite) = θ. Arccosecant is written arccsc or csc-1.

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

More Information

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

Cite this article as:


Arccosecant. 2010-08-07. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/arccosecant.html.

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Revision History


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

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