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# hyperbolic function

/haɪpəˌbɒlɪk ˈfʌŋkʃən/ (say huypuh.bolik 'fungkshuhn)

noun
one of the six mathematical functions which express angles in terms of distances between points on a hyperbola; analogous to the trigonometrical ratios, they are written sinh, cosh, tanh, cosech, sech, cotanh (or coth). Sinh x is defined as ½ (ex - e-x) and cosh x as ½ (ex + e-x). The remaining four functions are derived from sinh and cosh on the same basis as that by which the trigonometrical ratios are derived from sin and cos.

Australian English dictionary. 2014.

### Look at other dictionaries:

• hyperbolic function — noun : any of a set of six functions analogous to the trigonometric functions but related to the hyperbola in a way similar to that in which trigonometric functions are related to a circle * * * Math. a function of an angle expressed as a… …   Useful english dictionary

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• Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

• hyperbolic function — noun A function that is derived from some arithmetic operations on the exponential function with base e and the inverse function, and was named after the corresponding similar trigonometric function. See Also: hyperbolic sine, hyperbolic cosine,… …   Wiktionary

• hyperbolic function — Math. a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine: often expressed as combinations of exponential functions …   Universalium

• hyperbolic function — hy′perbol′ic func′tion n. math. a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine • Etymology: 1885–90 …   From formal English to slang

• hyperbolic function — noun Date: circa 1890 any of a set of six functions analogous to the trigonometric functions but related to the hyperbola in a way similar to that in which the trigonometric functions are related to a circle …   New Collegiate Dictionary

• inverse hyperbolic function — noun The inverse of a hyperbolic function Syn: antihyperbolic function, arc hyperbolic function …   Wiktionary

• arc-hyperbolic function — noun An inverse hyperbolic function …   Wiktionary

• Inverse hyperbolic function — The inverses of the hyperbolic functions are the area hyperbolic functions. The names hint at the fact that they compute the area of a sector of the unit hyperbola x^{2} y^{2} = 1 in the same way that the inverse trigonometric functions compute… …   Wikipedia