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Complex.Atan Method

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

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

public static Complex Atan(
	Complex value


Type: System.Numerics.Complex
A complex number.

Return Value

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

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)

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.

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)

.NET Framework

Supported in: 4

.NET Framework Client Profile

Supported in: 4

Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.