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In mathematics, one of a set of functions related to the hyperbola in the same way the trigonometric functions relate to the circle. They are the hyperbolic sine, cosine, tangent, secant, cotangent, and cosecant (written “sinh,” “cosh,” etc.). The hyperbolic equivalent of the fundamental trigonometric identity is cosh^{2}*math.z* − sinh^{2}*math.z* = 1. The hyperbolic sine and cosine, particularly useful for finding special types of integrals, can be defined in terms of exponential functions: *math.x* = (*math.e*^{math.x} − *math.e*^{−math.x}) ÷ 2 and cosh*math.x* = (*math.e*^{math.x} + *math.e*^{−math.x}) ÷ 2

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.

See *Function*

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Last updated on Friday July 06, 2007 at 19:42:24 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Friday July 06, 2007 at 19:42:24 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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