Complex.Asin(Complex) Complex.Asin(Complex) Complex.Asin(Complex) Complex.Asin(Complex) Method

定義

指定した複素数のアーク サインである角度を返します。Returns the angle that is the arc sine of the specified complex number.

public:
 static System::Numerics::Complex Asin(System::Numerics::Complex value);
public static System.Numerics.Complex Asin (System.Numerics.Complex value);
static member Asin : System.Numerics.Complex -> System.Numerics.Complex
Public Shared Function Asin (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 サインである角度。The angle which is the arc sine of value.

次の例を示しています、Asinメソッド。The following example illustrates the Asin method. によって返される値を渡すことを示しています、AsinメソッドをSin返します元Complex値。It shows that passing the value returned by the Asin method to the Sin method returns the original Complex value.

using System;
using System.Numerics;

public class Example
{
   public static void Main()
   {
      Complex[] values = { new Complex(2.3, 1.4),
                           new Complex(-2.3, 1.4), 
                           new Complex(-2.3, -1.4),
                           new Complex(2.3, -1.4) };
      foreach (Complex value in values)
         Console.WriteLine("Sin(Asin({0})) = {1}", 
                            value, Complex.Sin(Complex.Asin(value)));
   }
}
// The example displays the following output:
//       Sin(Asin((2.3, 1.4))) = (2.3, 1.4)
//       Sin(Asin((-2.3, 1.4))) = (-2.3, 1.4)
//       Sin(Asin((-2.3, -1.4))) = (-2.3, -1.4)
//       Sin(Asin((2.3, -1.4))) = (2.3, -1.4)
Imports System.Numerics

Module Example
   Public Sub Main()
      Dim values() As Complex = { New Complex(2.3, 1.4),
                                  New Complex(-2.3, 1.4), 
                                  New Complex(-2.3, -1.4),
                                  New Complex(2.3, -1.4) }
      For Each value As Complex In values
         Console.WriteLine("Sin(Asin({0})) = {1}", 
                            value, Complex.Sin(Complex.Asin(value)))
      Next                      
   End Sub
End Module
' The example displays the following output:
'       Sin(Asin((2.3, 1.4))) = (2.3, 1.4)
'       Sin(Asin((-2.3, 1.4))) = (-2.3, 1.4)
'       Sin(Asin((-2.3, -1.4))) = (-2.3, -1.4)
'       Sin(Asin((2.3, -1.4))) = (2.3, -1.4)

注釈

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

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

-ImaginaryOne * Log(ImaginaryOne * 値 + Sqrt(One -値 * 値))-ImaginaryOne * Log(ImaginaryOne * value + Sqrt(One - value * value))

適用対象

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