# cotangent

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Related to cotangent: cosecant, Inverse cotangent, secant
cotangent
cot θ = b/a

## co·tan·gent

(kō-tăn′jənt, kō′tăn′-)
n. Abbr. cot
1. The reciprocal of the tangent of an angle in a right triangle.
2. The tangent of the complement of a directed angle or arc.

## cotangent

(kəʊˈtændʒənt)
n
(Mathematics) (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. Abbreviation: cot, cotan or ctn

## co•tan•gent

(koʊˈtæn dʒənt, ˈkoʊˌtæn-)

n.
1. (in a right triangle) the ratio of the side adjacent to a given angle to the side opposite.
2. the tangent of the complement, or the reciprocal of the tangent, of a given angle or arc. Abbr.: cot, ctn
Also called co•tan (ˈkoʊˌtæn)
[1625–35; < New Latin cotangent-, s. of cotangēns]

## co·tan·gent

(kō-tăn′jənt)
The ratio of the length of the adjacent side of an acute angle in a right triangle to the length of the opposite side; the inverse of a tangent.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 cotangent - ratio of the adjacent to the opposite side of a right-angled trianglecotancircular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle
Translations
kotangens
kotangentti
cotangens
co-tangente
cotangent

## cotangent

[kəʊˈtændʒənt] n (Math) →
References in periodicals archive ?
Mondal, Cotangent similarity measure of rough neutrosophic sets and its application to medical diagnosis, "Journal of New Theory," 4(2015), 90-102.
Proposed method of Hurwitz-Radon Matrices (MHR) is applied in curve modeling via different coefficients: polynomial, sinusoidal, cosinusoidal, tangent, cotangent, logarithmic, exponential, arcsin, arccos, arctan, arcctg or power.
The dual theory via Legendre transformation, leads to the geometrical study of the Hamiltonian mechanical systems [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where T* is energy, K(x,p) is the fundamental function of a given Cartan space and H(x,p) is a regular Hamiltonian on the cotangent bundle T*M.
The scales provide the tangent or cotangent of the meridian altitude.
By inspecting the graphs of the basic trigonometric functions, one can see that the period of sin(x) and cos(x) is 2[pi]k, and the period of the tangent and cotangent functions is [pi]k, where k is a whole number, and the smallest period is obtained for k = 1.
The first 3 expansions are for the tangent, the following 3 are for the cotangent.
Then the cotangent space at m has the decomposition:
Urbanski: Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids, Ann.
In the last equations [sigma] = ds is the scalar arc element for (P) and (P'); [lambda] is cotangent angle, i.
From 40[degrees] to 50[degrees], cotangent is a decreasing function.
Let ([zeta]) denote the functional equation for the zeta function and (S) the classical sampling theorem; furthermore, let (C) denote the expansion of the cotangent function in partial fractions, (F) a special Fourier series, and (v) the functional equation for Jacobi's theta function.
Following Martin and Matthiessen (1991), they are commonly represented in SFG by means of cotangent circles (see Figure 2).

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