Library Function asinh in Math Class

January 31, 2023

Library Function asinh of math.h Header File in C

On this page we will discuss about library function asinh 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 asinh function returns the arc hyperbolic sine of x in radians.

Library Function asinh of math.h Header File

In C programming language the asinh function is included in math.h header file. The range of input argument which is passed to asinh function is not limited here as it can be any value from negative to positive and returns the inverse hyperbolic sine of parameter x in radians.

Note: Mathematically we can define this function as:

atan(x) = \sinh^{-1}(x)

Declaration of asinh function

double asinh(double x)

We can find the inverse hyperbolic sine of different data types like float and long double by using the specific functions asinhf() and asinhl() respectively.

Parameters of asinh function

The asinh function accepts a single input argument which can be any value from negative to positive.

Parameter	Description
double value	This value of double function ranges from $-\infty\;to\; \infty$

Return value of asinh function

The asinh function returns a value in radians and it’s type is double. The function returns NaN if the parameter passed to asinh function does not lies in the valid range of value.

Parameter	Return Value
$-\infty< x \leq -1$ or $1\leq x< \infty$	It returns the value in radians.
NaN	NaN (not a number)

library function math h atan

library function math h atan2

library function math h atanh

library function math h cbrt

library function math h cell

Implementation of Library Function math.h asinh

The following code shows the use of asinh function.

Run

#include <stdio.h>
#include <math.h>
#define PI 3.141592654

int main()
{
	float number = 9.0;
	double return_value;
	return_value = asinh(number);
	
	printf("Inverse of sinh(%.2f) function = %.2f in radians", number, return_value);
	
	// Converting radians to degree
	return_value=(return_value*180)/PI;
	printf("\nInverse of sinh(%.2f) function= %.2f in degrees", number, return_value);
	return 0;
}

Output:

Inverse of sinh(9.00) function = 2.89 in radians
Inverse of sinh(9.00) function= 165.78 in degrees

Note: Multiply radians by 180/PI to convert radians to degrees.

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