# Complex.Tan Method

Returns the tangent of the specified complex number.

Namespace:  System.Numerics
Assembly:  System.Numerics (in System.Numerics.dll)

## Syntax

``````'Declaration
Public Shared Function Tan ( _
value As Complex _
) As Complex
``````
``````public static Complex Tan(
Complex value
)
``````

#### 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.

``````Imports System.Numerics

Module Example
Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
Dim values() As Complex = { New Complex(2.5, 1.5),
New Complex(2.5, -1.5),
New Complex(-2.5, 1.5),
New Complex(-2.5, -1.5) }
For Each value As Complex In values
outputBlock.Text += String.Format("Tan(Atan({0})) = {1}",
value, Complex.Tan(Complex.Atan(value))) + vbCrLf
Next
End Sub
End Module
' The example displays the following example:
'       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)
``````
``````using System;
using System.Numerics;

public class Example
{
public static void Demo(System.Windows.Controls.TextBlock outputBlock)
{
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)
outputBlock.Text += String.Format("Tan(Atan({0})) = {1}",
value, Complex.Tan(Complex.Atan(value))) + "\n";
}
}
// 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

#### Silverlight

Supported in: 5, 4

## Platforms

For a list of the operating systems and browsers that are supported by Silverlight, see Supported Operating Systems and Browsers.