Article
11/17/2011

Complex.Asin Method

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

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

Syntax

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

public static Complex Asin(
    Complex value
)

Parameters

value
Type: System.Numerics.Complex
A complex number.

Return Value

Type: System.Numerics.Complex
The angle which is the arc sine of value.

Remarks

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

The Asin method uses the following formula:

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

Examples

The following example illustrates the Asin 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.

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