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# Complex.Tan Method

.NET Framework 4.6 and 4.5

Returns the tangent 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 Tan(
Complex value
)
```

#### Parameters

value
Type: System.Numerics.Complex

A complex number.

#### Return Value

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

## Remarks

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

The Tan method uses the following formula to calculate the tangent of the complex number value:

Sin(value) / Cos(value)

## Examples

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

```using System;
using System.Numerics;

public class Example
{
public static void Main()
{
Complex[] values = { new Complex(2.5, 1.5),
new Complex(2.5, -1.5),
new Complex(-2.5, 1.5),
new Complex(-2.5, -1.5) };
foreach (Complex value in values)
Console.WriteLine("Tan(Atan({0})) = {1}",
value, Complex.Tan(Complex.Atan(value)));
}
}
// The example displays the following output:
//       Tan(Atan((2.5, 1.5))) = (2.5, 1.5)
//       Tan(Atan((2.5, -1.5))) = (2.5, -1.5)
//       Tan(Atan((-2.5, 1.5))) = (-2.5, 1.5)
//       Tan(Atan((-2.5, -1.5))) = (-2.5, -1.5)
```

## Version Information

#### .NET Framework

Supported in: 4.6, 4.5, 4

Supported in: 4

#### .NET for Windows Phone apps

Supported in: Windows Phone 8.1

#### Portable Class Library

Supported in: Portable Class Library