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Complex.Asin Method

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

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

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.

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.


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)


Silverlight

Supported in: 5, 4

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

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