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hyperbolic function
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Tweet n. Any of a set of six functions related, for a real or complex variable x, to the hyperbola in a manner analogous to the relationship of the trigonometric functions to a circle, including: a. The hyperbolic sine, defined by the equation sinh x = 1/2 (ex - e-x). b. The hyperbolic cosine, defined by the equation cosh x = 1/2 (ex + e-x). c. The hyperbolic tangent, defined by the equation tanh x = sinh x/cosh x. d. The hyperbolic cotangent, defined by the equation coth x = cosh x/sinh x. e. The hyperbolic secant, defined by the equation sech x = 1/cosh x. f. The hyperbolic cosecant, defined by the equation csch x = 1/sinh x. |
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