# COSH()

Hyperbolic Cosine of the argument

Syntax

  COSH (nArea) -> nHyperbolicCosine

Arguments

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

Returns

  <nHyperbolicCosine> the hyperbolic cosine of <nArea>

Description

  The function COSH() calculates the hyperbolic cosine of the argument. In analytical mathematics it is defined as 1/2*(exp(nArea)+exp(-nArea)). A common geometric interpretation of the COSH() function is the maximum x 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

          ? cosh (0.0) --> 1.0
          ? cosh (1.0) --> 1.5430...
    Tests
          cosh (0.0) == 1.0
          cosh (-0.5) == cosh(0.5)

Status

  Ready

Compliance

  COSH() 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()
- SINH()
- TANH()
- RTOD()
- DTOR()
- PI()