sinh() function for Complex Number in C++

The sinh() function is a built-in function in C++ defined in the complex header file. This function is the complex version of the sinh() function available in the cmath header file. This function is used to calculate the complex hyperbolic sine of a complex number z.

Syntax:

template<class T> complex<T> 
       sinh (const complex<T>& z );

Parameter:

• z: This method takes a mandatory parameter z which represents the complex number.

Return value: This function returns the hyperbolic sine of complex number z.

Below programs illustrate the sinh() function of Complex header file in C++:

Example 1:

CPP

// C++ program to demonstrate
// example of sinh() function.

#include <bits/stdc++.h>
using namespace std;

int main ()
{
  complex<double> complexnumber (0.0, 1.0);

  // use of sinh() function for complex number
  cout << "The sinh of " << complexnumber << " is "
                     << sinh(complexnumber) <<endl;

  return 0;
}

Output:

The sinh of (0,1) is (0,0.841471)

Time Complexity: O(1)
Auxiliary Space: O(1)

Example 2:

CPP

// CPP program to demonstrate
// example of sinh() function.

#include <bits/stdc++.h>
using namespace std;

int main()
{
  complex<double> complexnumber (1.0, 0.0);

  // use of sinh() function for complex number
  cout << "The sinh of " << complexnumber << " is "
                     << sinh(complexnumber) << endl;

  return 0;
}

Output:

The sinh of (1,0) is (1.1752,0)

Time Complexity: O(1)
Auxiliary Space: O(1)