## Hyperbolic Sine

(sinh)

Calcute implements the **hyperbolic sine** function with the *sinh* function.

sinh(1)
1.17520119364

It is defined in terms of the exponential function as sinh(x) = (exp(x) - exp(-x)) / 2.

A similarity exists between the trigonometric sine and the hyperbolic sine functions. While the former is best described graphically using a unit circle with equation (x^{2} + y^{2}) = 1, the hyperbolic sine follows the unit hyperbola with equation (x^{2} - y^{2}) = 1 instead.