I am having trouble with this problem. Can someone show me their code and JavaDo

Question

I am having trouble with this problem. Can someone show me their code and JavaDoc it to help me understand better. I am using Eclipse (Java) to code. Thnaks!

1st Part: Write a program, TaylorSeries, that implements two methods one for calculating sin(x) and one for calculating cos(x) using the Taylor series expansion. The method signatures should be:

public static double sin(double x)

public static double cos(double x)

For this problem use only while loops. Terminate calculation when the term, (-1)nx2n+1(2n+1)! and (-1)nx2n(2n)!respectively, reaches 0.

The Taylor series for sin(x) and cos(x) can be found here: Commonly Used Taylor Series.
Hint: You can compare your results against the methods Math.cos(x) and Math.sin(x) from the Math library.

2nd Part: Add two additional methods to the program TaylorSeries:

public static double sin(double x, int numIterations)

public static double cos(double x, int numIterations)

That calculate the sin and cos of x up to a given number of iterations specified as input parameter. For this methods use only for loops.

Explanation / Answer

/**
*
* @author Sam
*/
public class TaylorSeries {
    private static long factorial(int x) {
        long k = 1;
        for (int i = 1; i <= x; i++)
            k *= i;
        return k;
    }
    public static double sin(double x) {
        double sum = x;
        int n = 1;
        double term = x;
        int sign = 1;
        while (Math.abs(term) > 0) {
            n += 2;
            sign *= -1;
            term = Math.pow(x,n)/factorial(n);
            sum += sign*term;
        }
        return sum;
    }
  
    public static double cos(double x) {
        double sum = 1;
        int n = 0;
        double term = 1;
        int sign = 1;
        while (Math.abs(term) > 0) {
            n += 2;
            sign *= -1;
            term = Math.pow(x,n)/factorial(n);
            sum += sign*term;
        }
        return sum;
    }
  
    public static double sin(double x, int numIterations) {
        double sum = x;
        int n = 1;
        double term;
        int sign = 1;
        for (int i = 0; i < numIterations; i++) {
            n += 2;
            sign *= -1;
            term = Math.pow(x,n)/factorial(n);
            sum += sign*term;
        }
        return sum;
    }
  
    public static double cos(double x, int numIterations) {
        double sum = 1;
        int n = 0;
        double term;
        int sign = 1;
        for (int i = 0; i < numIterations; i++) {
            n += 2;
            sign *= -1;
            term = Math.pow(x,n)/factorial(n);
            sum += sign*term;
        }
        return sum;
    }
    //TEST
    public static void main(String[] args) {
        System.out.println("Sin pi/6 = " + sin(3.14/6) + " or " + Math.sin(3.14/6));
    }
  
}

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