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sinh

Hyperbolic sine function

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Contents

Interface
Description
Special Values
See Also
Standards
Page Comments

Interface

#include <math.h>

	double	`sinh` (double x)
	long	`sinhl` (long double x)
	float	`sinhf` (float x)

Description

The sinh function computes the hyperbolic sine of x, which is defined through:

(1)

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

Example 1:

#include <math.h>
#include <stdio.h>
 
int main(void)
{
  double val = -1.0;
  do
  {
    printf("Hyperbolic sine of %f is %f.\n", val, sinh(val));
    val += 0.1;
  }
  while(val<=1.0);
 
  return 0;
}

Output:

Hyperbolic sine of -1.000000 is -1.175201.
Hyperbolic sine of -0.900000 is -1.026517.
Hyperbolic sine of -0.800000 is -0.888106.
Hyperbolic sine of -0.700000 is -0.758584.
Hyperbolic sine of -0.600000 is -0.636654.
Hyperbolic sine of -0.500000 is -0.521095.
Hyperbolic sine of -0.400000 is -0.410752.
Hyperbolic sine of -0.300000 is -0.304520.
Hyperbolic sine of -0.200000 is -0.201336.
Hyperbolic sine of -0.100000 is -0.100167.
Hyperbolic sine of -0.000000 is -0.000000.
Hyperbolic sine of 0.100000 is 0.100167.
Hyperbolic sine of 0.200000 is 0.201336.
Hyperbolic sine of 0.300000 is 0.304520.
Hyperbolic sine of 0.400000 is 0.410752.
Hyperbolic sine of 0.500000 is 0.521095.
Hyperbolic sine of 0.600000 is 0.636654.
Hyperbolic sine of 0.700000 is 0.758584.
Hyperbolic sine of 0.800000 is 0.888106.
Hyperbolic sine of 0.900000 is 1.026517.
Hyperbolic sine of 1.000000 is 1.175201.

Special Values

sinh ( 0 ) returns 0.
sinh ( ∞) returns ∞.

Standards

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

Last Modified: 2009-04-14 09:17:00 Page Rendered: 2010-03-12 21:28:45

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