# 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

- SIN()
- COS()
- TAN()
- COT()
- ASIN()
- ACOS()
- ATAN()
- ATN2()
- COSH()
- TANH()
- RTOD()
- DTOR()
- PI()