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Library Function acosh in Math Class
Library Function acosh of math.h Header File in C
On this page we will discuss about library function acosh in math class which is used in C.
The C header file math.h contains the standard math library functions that can be used for performing various mathematical operations. The acosh function returns the arc hyperbolic cosine of x in radians.
Library Function acosh of math.h Header File
In C programming language the acosh function is included in math.h header file.
The acosh function takes input argument in the range of (x\geq 1) and returns the inverse hyperbolic cosine of parameter x in radians.
acosh(x) = \cosh^{-1}(x)
Declaration of acosh function
double acosh(double x)
int x = 0; double result; result = acosh(double(x));
Parameters of acosh function
The acosh function accepts a single input value which is greater than or equal to 1.
| Parameter | Description |
|---|---|
| double value | This value of double function is greater than or equal to 1(x\geq 1). |
Return value of acosh function
The acosh function returns a value or a number which is greater than or equal to 0 in radians. The function returns NaN if the parameter passed to acosh function is less than 1.
| Parameter | Return Value |
|---|---|
| x\geq 1 | It returns a number greater than or equal to 0 in radians |
| x>1 or x<-1 | NaN (not a number) |
Implementation of Library Function math.h acosh
Example 1:
The following code shows the use of acosh function with different parameters passed to the function.
#include <stdio.h>
#include <math.h>
int main()
{
// constant PI is defined
const double PI = 3.1415926;
double y, return_value_of_function;
y = 6.8;
return_value_of_function = acosh(y);
printf("Value of acosh(%.2f) function = %.2lf in radians\n", y, return_value_of_function);
// converting radians to degree
return_value_of_function = acosh(y)*180/PI;
printf("Value of acosh(%.2f) function = %.2lf in degrees\n", y, return_value_of_function);
// parameter not in range
y = 0.7;
return_value_of_function = acosh(y);
printf("Value of acosh(%.2f) function = %.2lf", y, return_value_of_function);
return 0;
}
Output:
Value of acosh(6.80) function = 2.60 in radians Value of acosh(6.80) function = 149.23 in degrees Value of acosh(0.70) function = -nan
Example 2:
The following code shows the use of acosh function when parameters such as INFINITY and DBL_MAX are passed to the function.
#include <stdio.h>
#include <math.h>
#include <float.h>
int main()
{
double y, return_value_of_function;
// maximum representable finite floating-point number
y = DBL_MAX;
return_value_of_function = acosh(y);
printf("Maximum value of acosh() function in radians = %.3lf\n", return_value_of_function);
// Infinity
y = INFINITY;
return_value_of_function = acosh(y);
printf("When infinity is passed to acosh() function, return_value = %.3lf\n", return_value_of_function);
return 0;
}
Output:
Maximum value of acosh() function in radians = 710.476 When infinity is passed to acosh() function, return_value = inf
Also, math.h header file is included to use INFINITY parameter in our program which is a constant expression representing positive infinity.
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