# Complex.Sin Method

.NET Framework 4.6 and 4.5

Returns the sine of the specified complex number.

Namespace:  System.Numerics
Assemblies:   System.Runtime.Numerics (in System.Runtime.Numerics.dll)
System.Numerics (in System.Numerics.dll)

## Syntax

```public static Complex Sin(
Complex value
)
```

#### Parameters

value
Type: System.Numerics.Complex

A complex number.

#### Return Value

Type: System.Numerics.Complex
The sine of value.

## Remarks

The Sin method for complex numbers corresponds to the Math.Sin method for real numbers.

The Sin method uses the following formula to calculate the sine of the complex number a + bi:

(Sin(a) * Cosh(b), Cos(a) * Sinh(b))

## Examples

The following example illustrates the Sin method. It shows that passing the value returned by the Asin method to the Sin method returns the original Complex value.

```using System;
using System.Numerics;

public class Example
{
public static void Main()
{
Complex[] values = { new Complex(2.3, 1.4),
new Complex(-2.3, 1.4),
new Complex(-2.3, -1.4),
new Complex(2.3, -1.4) };
foreach (Complex value in values)
Console.WriteLine("Sin(Asin({0})) = {1}",
value, Complex.Sin(Complex.Asin(value)));
}
}
// The example displays the following output:
//       Sin(Asin((2.3, 1.4))) = (2.3, 1.4)
//       Sin(Asin((-2.3, 1.4))) = (-2.3, 1.4)
//       Sin(Asin((-2.3, -1.4))) = (-2.3, -1.4)
//       Sin(Asin((2.3, -1.4))) = (2.3, -1.4)
```

## Version Information

#### .NET Framework

Supported in: 4.6, 4.5, 4

Supported in: 4

#### Portable Class Library

Supported in: Portable Class Library
Supported in: Windows Phone 8.1