• Article

Complex.Sin Method

Microsoft Silverlight will reach end of support after October 2021. Learn more.

Returns the sine of the specified complex number.

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

Syntax

'Declaration
Public Shared Function Sin ( _
    value As Complex _
) As Complex

public static Complex Sin(
    Complex value
)

Parameters

Return Value

Type: System.Numerics.Complex
The sine of value.

Remarks

The Sin method for complex numbers corresponds to the Math.Sin method for real numbers.

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))

Examples

The following example illustrates the Sin method. It shows that passing the value returned by the Asin method to the Sin method returns the original Complex value.

Imports System.Numerics

Module Example
   Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
      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
         outputBlock.Text += String.Format("Sin(Asin({0})) = {1}", 
                            value, Complex.Sin(Complex.Asin(value))) + vbCrLf 
      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)

using System;
using System.Numerics;

public class Example
{
   public static void Demo(System.Windows.Controls.TextBlock outputBlock)
   {
      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)
         outputBlock.Text += String.Format("Sin(Asin({0})) = {1}",
                            value, Complex.Sin(Complex.Asin(value))) + "\n";
   }
}
// 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)

Version Information

Silverlight

Supported in: 5, 4

Platforms

For a list of the operating systems and browsers that are supported by Silverlight, see Supported Operating Systems and Browsers.