Also found in: Dictionary, Thesaurus, Medical, Acronyms, Wikipedia.
Related to cotangent: cosecant, Inverse cotangent, secant


see trigonometrytrigonometry
[Gr.,=measurement of triangles], a specialized area of geometry concerned with the properties of and relations among the parts of a triangle. Spherical trigonometry is concerned with the study of triangles on the surface of a sphere rather than in the plane; it is
..... Click the link for more information.
The Columbia Electronic Encyclopedia™ Copyright © 2013, Columbia University Press. Licensed from Columbia University Press. All rights reserved.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.



one of the trigonometric functions; denoted by cot or ctn. The cotangent of an acute angle in a right triangle is the ratio of the adjacent side to the opposite side.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.


The reciprocal of the tangent. Denoted cot; ctn.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.


(of an angle) a trigonometric function that in a right-angled triangle is the ratio of the length of the adjacent side to that of the opposite side; the reciprocal of tangent
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
References in periodicals archive ?
The method of Hurwitz-Radon Matrices (MHR) enables interpolation of two-dimensional curves using different coefficients [gamma]: polynomial, sinusoidal, cosinusoidal, tangent, cotangent, logarithmic, exponential, arcsin, arccos, arctan, arcctg or power function [16], also inverse functions.
We proceed to construct the phase space by building the cotangent bundle, which is just the set of pairs consisting of a holonomy map and a divergence-free electric field.
According to the isomorphism (4), the Clifford algebra (40) can be isomorphically mapped to the exterior algebra of a cotangent bundle [T.sup.*] M
The integral with the cotangent kernel in (4.7) can be discretized by Wittich's method [51].
3792/pjaa.89.92 [c]2013 The Japan Academy cotangent bundle of X is generically generated by its global sections, that is, [H.sup.0](X, [[OMEGA].sup.1.sub.X])[cross product][O.sub.X] [right arrow] [[OMEGA].sup.1.sub.X] is surjective at the generic point of X.
The cotangent bundle of any compact smooth manifold is also a symplectic manifold in a natural way.
In 1870, Ernst Schering showed that a potential involving the hyperbolic cotangent of the distance agrees with this law, [31].
Each codistribution [H.sub.[lambda]] for all [lambda] = 1, ..., k defines a corresponding subspace [B.sub.[lambda]] [subset] M such that [H.sub.[lambda]] is the cotangent bundle of [B.sub.[lambda]] and dim [H.sub.[lambda]] = dim [B.sub.[lambda]] if and only if all [H.sub.[lambda]] are integrable.
The total space of the cotangent bundle [T.sup.*][M.sub.I] is canonically diffeomorphic with the total space [T.sup.[dagger]][M.sub.I] of the affine dual of T[M.sub.I] [right arrow] [M.sub.I]
(From now on, it is to be understood that small and capital Latin indices run from 1 to 3, and that Greek indices run from 1 to 4.) As usual, we also define the dual, contravariant (i.e., cotangent) counterparts of the basis vectors [g.sub.i], [e.sup.A], and [[omega][micro]], denoting them respectively as gi, [e.sub.A], and [[omega][micro]], according to the following relations: [g.sub.i], [g.sub.[micro]]
The cotangent vector space at a point of ([M.sup.n], [A.sup.[omega]]) is defined in the next.
The average value of the cotangent of the angle can be calculated as follows: