/C++

# std::sin(std::complex)

Defined in header `<complex>`
```template< class T >
complex<T> sin( const complex<T>& z );```

Computes complex sine of a complex value `z`.

### Parameters

 z - complex value

### Return value

If no errors occur, the complex sine of `z` is returned.

Errors and special cases are handled as if the operation is implemented by `-i * std::sinh(i*z)`, where `i` is the imaginary unit.

### Notes

The sine is an entire function on the complex plane, and has no branch cuts. Mathematical definition of the sine is sin z =

 eiz-e-iz 2i

### Example

```#include <iostream>
#include <cmath>
#include <complex>

int main()
{
std::cout << std::fixed;
std::complex<double> z(1, 0); // behaves like real sine along the real line
std::cout << "sin" << z << " = " << std::sin(z)
<< " ( sin(1) = " << std::sin(1) << ")\n";

std::complex<double> z2(0, 1); // behaves like sinh along the imaginary line
std::cout << "sin" << z2 << " = " << std::sin(z2)
<< " (sinh(1) = " << std::sinh(1) << ")\n";
}```

Output:

```sin(1.000000,0.000000) = (0.841471,0.000000) ( sin(1) = 0.841471)
sin(0.000000,1.000000) = (0.000000,1.175201) (sinh(1) = 1.175201)```

 cos(std::complex) computes cosine of a complex number (cos(z)) (function template) tan(std::complex) computes tangent of a complex number (tan(z)) (function template) asin(std::complex) (C++11) computes arc sine of a complex number (arcsin(z)) (function template) sin computes sine (sin(x)) (function) sin(std::valarray) applies the function `std::sin` to each element of valarray (function template) C documentation for `csin`