# C++ <complex> - asinh() Function

The C++ <complex> asinh() function returns the complex inverse hyperbolic sine of a complex number z. It is a function on complex plane, and has two branch cuts:

• Extends from 1j along the imaginary axis to ∞j, continuous from the right.
• Extends from -1j along the imaginary axis to -∞j, continuous from the left.

Mathematically, it can be expressed as: ### Syntax

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

### Parameters

 `z` Specify the complex number.

### Return Value

Returns the complex inverse hyperbolic sine of z.

### Example:

The example below shows the usage of <complex> asinh() function.

```#include <iostream>
#include <complex>
using namespace std;

int main (){
complex<double> z1 (2, 2);
complex<double> z2 (2, 0);
complex<double> z3 (0, 2);

//calculate the complex inverse hyperbolic sine
cout<<"asinh(z1): "<<asinh(z1)<<"\n";
cout<<"asinh(z2): "<<asinh(z2)<<"\n";
cout<<"asinh(z3): "<<asinh(z3)<<"\n";

return 0;
}
```

The output of the above code will be:

```asinh(z1): (1.73432,0.754249)
asinh(z2): (1.44364,0)
asinh(z3): (1.31696,1.5708)
```

❮ C++ <complex> Library

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