Complex.Sin(Complex) Complex.Sin(Complex) Complex.Sin(Complex) Complex.Sin(Complex) Method

定義

指定した複素数のサインを返します。Returns the sine of the specified complex number.

public:
 static System::Numerics::Complex Sin(System::Numerics::Complex value);
public static System.Numerics.Complex Sin (System.Numerics.Complex value);
static member Sin : System.Numerics.Complex -> System.Numerics.Complex
Public Shared Function Sin (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 のサイン。The sine of value.

次の例は、 Sinメソッドを示しています。The following example illustrates the Sin method. メソッドによってAsin返された値をSinメソッドに渡すと、元Complexの値が返されることがわかります。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

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

メソッドSinは、次の式を使用して、複素数 a + bi のサインを計算します。The Sin method uses the following formula to calculate the sine of the complex number a + bi:

(Sin(a) * Cosh(b)、 Cos(a) * Sinh(b))(Sin(a) * Cosh(b), Cos(a) * Sinh(b))

適用対象

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