Complex.Atan(Complex) Complex.Atan(Complex) Complex.Atan(Complex) Complex.Atan(Complex) Method

定義

指定した複素数のアーク タンジェントである角度を返します。Returns the angle that is the arc tangent of the specified complex number.

public:
 static System::Numerics::Complex Atan(System::Numerics::Complex value);
public static System.Numerics.Complex Atan (System.Numerics.Complex value);
static member Atan : System.Numerics.Complex -> System.Numerics.Complex
Public Shared Function Atan (value As Complex) As Complex

パラメーター

value
Complex Complex Complex Complex

複素数。A complex number.

戻り値

value のアーク タンジェントである角度。The angle that is the arc tangent of value.

次の例を示しています、Atanメソッド。The following example illustrates the Atan method. によって返される値を渡すことを示しています、AtanメソッドをTan返します元Complex値。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)
Imports System.Numerics

Module Example
   Public Sub Main()
      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
         Console.WriteLine("Tan(Atan({0})) = {1}", 
                            value, Complex.Tan(Complex.Atan(value)))
      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)

注釈

Atan複素数のメソッドに対応して、Math.Atan実数のメソッド。The Atan method for complex numbers corresponds to the Math.Atan method for real numbers.

Atanメソッドは、次の式を使用します。The Atan method uses the following formula:

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

適用対象

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