import java.util.*;

public class Practica5
{
    public static void main(String[] args)
    {
        Scanner t = new Scanner(System.in).useLocale(Locale.US);

        // Variables
        double x = 0;
        double epsilon = 0;
        double sumSen = 0;

        // Lectura de datos
        System.out.print("Valor del ángulo en radianes: ");
        x = t.nextDouble();
        System.out.print("\nValor del error máximo: ");
        epsilon = t.nextDouble();

        sumSen = sinus(x, epsilon);

        System.out.print("\nEl valor del seno calculado es: " + sumSen);
        System.out.print("\nEl valor del seno del sistema es: " + Math.sin(x));
        System.out.println("\nDiferencia en valor absoluto: " + Math.abs(Math.sin(x) - sumSen));
     }

    public static double sinus(double x, double epsilon)
    {
        int k = 1;
        double sumSen = x;
        double term = x;

        while(Math.abs(term) >= epsilon)
        {
            term = -1 * term * (x * x) / (2 * k * (2 * k + 1));
            sumSen += term;
            k++;
        }

        return sumSen;
    }
}