Complex.Asin Method (Complex)

 
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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)

Public Shared Function Asin (
	value As Complex
) As Complex

Parameters

value
Type: System.Numerics.Complex

A complex number.

Return Value

Type: System.Numerics.Complex

The angle which is the arc sine of value.

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))

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 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)

Universal Windows Platform
Available since 8
.NET Framework
Available since 4.0
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 4.0
Windows Phone
Available since 8.1
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