Cotangent
From Encyclopedia of Mathematics
One of the trigonometric functions:
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other notations are ,
and
. The domain of definition is the entire real line with the exception of the points with abscissas
,
. The cotangent is an unbounded odd periodic function (with period
). The cotangent and the tangent are related by
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The inverse function to the cotangent is called the arccotangent. The derivative of the cotangent is given by:
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The integral of the cotangent is given by:
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The series expansion is:
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The cotangent of a complex argument is a meromorphic function with poles at the points
,
.
Comments
See also Tangent, curve of the; Sine; Cosine.
How to Cite This Entry:
Cotangent. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cotangent&oldid=31899
Cotangent. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cotangent&oldid=31899
This article was adapted from an original article by Yu.A. Gor'kov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article