C++ Math atanh

The function computes the arc hyperbolic tangent of an angle given in radian.

Where, an arc hyperbolic tangent is the inverse operation of hyperbolic tangent.

Syntax

Suppose an angle given in radian is 'x':

float atanh(float x);
double atanh(double x);
long double atanh(long double x);
double atanh(integral x);

Note: The return_type can be float, double long double.

Parameter

x : The value whose arc hyperbolic tangent is to be computed.

Return value

It returns the arc hyperbolic tangent of x.

Example 1

Let's see the simple example when the value of x lies between -1 and 1.

#include <iostream>
#include<math.h>
using namespace std;
int main()
{
  float x=0.5;
  std::cout << "value of x is :" <<x <<std::endl;
  cout<<"atanh(x) : "<<atanh(x);
  return 0;
}

Output:

value of x is :0.5
atanh(x) : 0.549306

In this example, atanh(x) function computes the arc hyperbolic tangent of x and returns the value 0.54.

Example 2

Let's see the simple example when the value of x is -1.

#include <iostream>
#include<math.h>
using namespace std;
int main()
{
  int x= -1;
  std::cout << "value of x is :" <<x <<std::endl;
  cout<<"atanh(x) : "<<atanh(x);
  return 0;
}

Output:

value of x is :-1
atanh(x) : -inf

In this example, atanh(x) function computes the arc hyperbolic tangent of x and returns the value ?inf.

Example 3

Let's see the simple example when the value of x is equal to 1.

#include <iostream>
#include<math.h>
using namespace std;
int main()
{
  int x=1;
  std::cout << "value of x is :" <<x <<std::endl;
  cout<<"atanh(x) : "<<atanh(x);
  return 0;
}

Output:

value of x is :1
atanh(x) : inf

In this example, atanh(x) computes the arc hyperbolic tangent of x and returns the value inf.

Example 4

Let's see the simple example when the value of x is greater than 1.

#include <iostream>
#include<math.h>
using namespace std;
int main()
{
  int x=5;
  std::cout << "value of x is :" <<x <<std::endl;
  cout<<"atanh(x) : "<<atanh(x);
  return 0;
}

Output:

value of x is :5
atanh(x) : -nan

In this example, atanh(x) computes the arc hyperbolic tangent of x and returns the value -nan.