| 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. |

| hyperbolic function 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). |
| hyperbolic function (hī'pər-bŏl'ĭk) Pronunciation Key
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).
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