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Atan Method

Complex.Atan Method

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

Namespace:  System.Numerics
Assemblies:   System.Runtime.Numerics (in System.Runtime.Numerics.dll)
  System.Numerics (in System.Numerics.dll)

public static Complex Atan(
	Complex value
)

Parameters

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: 4.6, 4.5, 4

.NET Framework Client Profile

Supported in: 4

.NET for Windows Phone apps

Supported in: Windows Phone 8.1

Portable Class Library

Supported in: Portable Class Library
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