Complex.Atan Method

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Returns the angle that is the arc tangent of the specified complex number.

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

Syntax

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

Parameters

Return Value

Type: System.Numerics.Complex
The angle that is the arc tangent of value.

Remarks

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

The Atan method uses the following formula:

ImaginaryOne / new Complex(2.0, 0.0)) * (Log(One - ImaginaryOne * value) - Log(One + ImaginaryOne * value)

Examples

The following example illustrates the Atan 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.