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Asin Method

Complex.Asin Method

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

Namespace:  System.Numerics
Assemblies:   System.Runtime.Numerics (in System.Runtime.Numerics.dll)
  System.Numerics (in System.Numerics.dll)

public static Complex Asin(
	Complex 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 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)

.NET Framework

Supported in: 4.6, 4.5, 4

.NET Framework Client Profile

Supported in: 4

.NET for Windows Phone apps

Supported in: Windows Phone 8.1

Portable Class Library

Supported in: Portable Class Library
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