Complex.Sin Method

Returns the 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 Sin(
	Complex value
)

Parameters

value
Type: System.Numerics.Complex

A complex number.

Return Value

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

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))

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.

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

Portable Class Library

Supported in: Portable Class Library

Supported in: Windows Phone 8.1
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