# trigonometric function

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Related to trigonometric function: exponential function, Inverse trigonometric function
trigonometric function
In a right triangle, the three main trigonometric functions are
sine θ = opposite / hypotenuse
cosine θ = adjacent / hypotenuse
tangent θ = opposite / adjacent.

## trigonometric function

n.
A function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, or cosecant. Also called circular function.

## trigonometric function

n
1. (Mathematics) Also called: circular function any of a group of functions of an angle expressed as a ratio of two of the sides of a right-angled triangle containing the angle. The group includes sine, cosine, tangent, secant, cosecant, and cotangent
2. (Mathematics) any function containing only sines, cosines, etc, and constants

## trig′onomet′ric func′tion

n.
a function of an angle, as the sine or cosine, expressed as the ratio of the sides of a right triangle.
Also called circular function.
[1905–10]
trigonometric function
In a right triangle, the trigonometric functions are: sine θ = opposite/hypothenuse cosine θ = adjacent/hypothenuse tangent θ = opposite/adjacent

## trig·o·no·met·ric function

(trĭg′ə-nə-mĕt′rĭk)
A function of an angle, as the sine, cosine, or tangent, whose value is expressed as a ratio of two of the sides of the right triangle that contains the angle.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the anglecircular functionfunction, mapping, mathematical function, single-valued function, map - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)sine, sin - ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled trianglearc sine, arcsin, arcsine, inverse sine - the inverse function of the sine; the angle that has a sine equal to a given numbercos, cosine - ratio of the adjacent side to the hypotenuse of a right-angled trianglearc cosine, arccos, arccosine, inverse cosine - the inverse function of the cosine; the angle that has a cosine equal to a given numbertangent, tan - ratio of the opposite to the adjacent side of a right-angled trianglearc tangent, arctan, arctangent, inverse tangent - the inverse function of the tangent; the angle that has a tangent equal to a given numbercotan, cotangent - ratio of the adjacent to the opposite side of a right-angled trianglearc cotangent, arccotangent, inverse cotangent - the inverse function of the cotangent; the angle that has a cotangent equal to a given numbersec, secant - ratio of the hypotenuse to the adjacent side of a right-angled trianglearc secant, arcsec, arcsecant, inverse secant - the inverse function of the secant; the angle that has a secant equal to a given numbercosec, cosecant - ratio of the hypotenuse to the opposite side of a right-angled trianglearc cosecant, arccosecant, inverse cosecant - the angle that has a cosecant equal to a given number
References in periodicals archive ?
When I was studying Chemical Engineering at the University of Pennsylvania, I struggled with all the homework and lab work; not with the technical challenge but with the amount of time required to actually do the labor-intensive table look-ups for each trigonometric function used.
Combinational Division Algorithm, approach to use floating point numbers and implementation of look-up tables to provide values of trigonometric function (cosine, inverse cosine etc) in Very High Speed Integrated Circuits Hardware Description Language is briefly introduced.
They work on a trigonometric function based on the fact that your bow, the target, and the ground form a triangle whose unknown variable (the distance to the target) can be deduced.
We claim that the tanh method can be extended by replacing tanh function with some generalized functions f(x), such as polynomial function, trigonometric function and Jacobi elliptical function.
In this paper, the author introduced a new window function using an Elliptical Trigonometric function such as Elliptic Jes function [16-17].
At last, the post-processing module completes the conversion of trigonometric function (from [0, [pi]/8], to [0, 2[pi]]).
If f(x) is a periodical trigonometric function with a smallest period of T, then the function a x f(mx + n) + b (where a, b, m and n are constant numbers, a [not equql to] 0, m [not equal to] 0) is also periodical, with a smallest period of T/[absolute value of m].
It would be quite remarkable to thus obtain the continued fraction on one side and the trigonometric function on the other side.
Since BARON cannot handle trigonometric function arctan(x) within the optimization model, the optimum solutions of NTPs with function A were found only by LINDOGlobal and LGO.
1) has the following trigonometric function solutions:
The Greek's basic trigonometric function was the ratio of a circle's chord subtending twice a given angle to the circle's radius.
For some students numbers fall gently and expertly into equations with little gnashing of the teeth; for others phrases like irrational numbers one-to-one function and inverse trigonometric function are enough to cause spasms of confusion self-doubt and mental paralysis.

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