function
<cmath> <ctgmath>

asinh

     double asinh  (double x);
      float asinhf (float x);
long double asinhl (long double x);

     double asinh (double x);
      float asinh (float x);
long double asinh (long double x);
     double asinh (T x);           // additional overloads for integral types
Compute arc hyperbolic sine
Returns the arc hyperbolic sine of x, expressed in radians.

The arc hyperbolic sine is the inverse operation of the hyperbolic sine.

Header <tgmath.h> provides a type-generic macro version of this function.
Additional overloads are provided in this header (<cmath>) for the integral types: These overloads effectively cast x to a double before calculations (defined for T being any integral type).

This function is also overloaded in <complex> (see complex asinh).

Parameters

x
Value whose arc hyperbolic sine is computed.

Return Value

Arc hyperbolic sine of x, in radians.
One radian is equivalent to 180/PI degrees.

Example

1
2
3
4
5
6
7
8
9
10
11
12
 
/* asinh example */
#include <stdio.h>      /* printf */
#include <math.h>       /* asinh, exp, cosh */

int main ()
{
  double param, result;
  param = exp(2) - cosh(2);
  result = asinh(param) ;
  printf ("The arc hyperbolic sine of %f is %f radians.\n", param, result);
  return 0;
}


Output:

The arc hyperbolic sine of 3.626860 is 2.000000 radians.

See also

sinh
Compute hyperbolic sine (function )
acosh
Compute arc hyperbolic cosine (function )

C++