C# Program to Calculate the Series sin(x)=x-x^3/3!+x^5/!-x^7/7!+……

This is a C# Program to calculate the series sin(x)=x-x^3/3!+x^5/!-x^7/7!+…….

This C# Program Finds the Value of sin(x) from the series sin(x)=x-x^3/3!+x^5/5-x^7/7!

Take input from the user and perform series calculations as shown in the program below.

Here is source code of the C# program to Find the Value of sin(x) from the Series. The C# program is successfully compiled and executed with Microsoft Visual Studio. The program output is also shown below.

/*
 * C# Program to calculate the series sin(x)=x-x^3/3!+x^5/!-x^7/7!+......
 */
using System;
class sine
{
    int deg, n;
    public void readdata()
    {
        Console.WriteLine("Enter the Number of Terms:");
        n = Convert.ToInt32(Console.ReadLine());
        Console.WriteLine("Enter the Angle in Degrees:");
        deg = Convert.ToInt32(Console.ReadLine());
    }
    public void sineseries()
    {
        float x, s = 0.0f, t;
        x = (float)Math.PI * deg / 180f;
        s = x;
        t = x;
        for (int i = 1; i <= n; i++)
        {
            t = (-t * x * x) / ((2 * i) * (2 * i + 1));
            s = s + t;
        }
        Console.WriteLine("Sin({0})={1}", deg, s);
    }
    public static void Main()
    {
        sine s = new sine();
        s.readdata();
        s.sineseries();
    }
}

This C# program, we are reading the number of terms and the angle in degrees using ‘n’ and ‘deg’ variables respectively. The sineseries() procedure is used to compute the sin(x) series value.

Using math function, compute the degree by multiplying the value of PI with the value of ‘deg’ variable. Divide the value by 180 and assigning the value to ‘x’ variable. Using for loop compute the sin() series.

Multiply the value of ‘i’ variable with the value of 2. Again multiply the value of ‘i’ variable with the value of 1. Divide the resulted value and assign to ‘t’ variable. Compute the addition of the value of ‘s’ variable with the value of ‘t’ variable.

 
Enter the Number of Terms:
20
Enter the Angle in Degrees:
90
Sin(90)=0.99999994