SINH()

Hyperbolic Sine of the argument

Syntax

SINH (nArea) -> nHyperbolicSine

Arguments

<nArea> the size of the area (see below)

Returns

<nHyperbolicSine> the hyperbolic sine of <nArea>

Description

The function SINH() calculates the hyperbolic sine of the argument. In analytical mathematics it is defined as 1/2*(exp(nArea)-exp(-nArea)). A common geometric interpretation of the SINH() function is the maximum y value of the points in the area with the given size <nArea>, that is bound by the x axis, a straight line through the point of origin (this one is fixed by the area) and the hyperbola x^2-y^2=1.
Examples
      ? sinh (0.0) --> 0.0
      ? sinh (1.0) --> 1.1752...
Tests
      sinh (0.0) == 0.0
      sinh (-0.5) == -sinh(0.5)
Status

Ready

Compliance

SINH() is new in Harbours CT3's library.

Platforms

All

Files

Source is trig.c, library is libct.

See Also