Problem: 3.19

Question 3.19: Write a program to compute sinx for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving xn

sin x = x - x3/3! + x5/5! - x7/7! + x9/9! .......

Solution: 

package com.company;

import java.util.Scanner;

public class lab3problem19 {

    public static void main(String[] args) {

        Scanner Obj = new Scanner(System.in);

            System.out.print("Enter the value of x: ");

            float x = Obj.nextInt();

        System.out.println("Enter the value of n: ");

        int n = Obj.nextInt();

        int fact;

        float sum=0;

        int sign = -1;

        for(int i=1;i<=n;i+=2)

        {

            float p=1;

            fact =1;

            for(int j=1;j<=i;j++)

            {

                p = p * x;

                fact =fact * j;

            }

            sign = -1 *sign;

            sum += sign * p/fact;

        }

        System.out.println(" sin" + x +" "+ sum);

    }

}