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Complex.Tan Method

Microsoft Silverlight will reach end of support after October 2021. Learn more.

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
)

Parameters

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.