hyperbolic function


hyperbolic function

noun

Definition of HYPERBOLIC FUNCTION

:  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

First Known Use of HYPERBOLIC FUNCTION

circa 1890

hyperbolic function

noun    (Concise Encyclopedia)

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 cosh2z sinh2z = 1. The hyperbolic sine and cosine, particularly useful for finding special types of integrals, can be defined in terms of exponential functions:

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