cosh

Hyperbolic cosine function

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Contents

Interface
Description
Special Values
See Also
Standards
Page Comments

Interface

#include <math.h>double  cosh (double x)
long  coshl (long double x)
float  coshf (float x)

Description

The cosh function computes the hyperbolic cosine of x, which is defined through:

$\mathrm{cosh}(x) := \frac{e^x + e^{-x}}{2}$

(1)

Example:

Example - Hyperbolic cosine function

Workings

#include <stdio.h>
#include <math.h>
int main(void)
{
  double x = 0.5;
  double result = cosh(x);
  printf("The hyperbolic cosine of %lf is %lf\n", x, result);
  return 0;
}

Solution

Output:

The hyperbolic cosine of 0.500000 is 1.127626

Special Values

cosh ( ±0 ) returns 1.

cosh ( ±∞ ) returns +∞.

Standards

The cosh function conforms to ISO/IEC 9899:1999(E).

Page Comments

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double	`cosh` (double x)
long	`coshl` (long double x)
float	`coshf` (float x)