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Cotangent

From Encyclopedia of Mathematics
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One of the trigonometric functions:

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

The inverse function to the cotangent is called the arccotangent. The derivative of the cotangent is given by:

The integral of the cotangent is given by:

The series expansion is:

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
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