soal 6: sin(0.2)

#include<iostream>
#include<cmath>

using namespace std;

int faktorial(int N) {
    if (N==0) return 1;
    else return N*faktorial(N-1);
}

int main() {

    double x = 0.2;
    double eksak = sin(x);

    cout << "sin(0.2) "<<endl;

    for (int N=1; N<=15; N++) {
        double sigma = 0.;
        double galat, galat_rel, galat_rel_hp;

        for (int i=0; i<N; i++) {
            sigma += pow(-1,i) * pow(x,2*i + 1) / faktorial(2*i + 1);

            galat = abs(eksak - sigma);
            galat_rel = galat / eksak;
            galat_rel_hp = galat / sigma;
        }

        printf("Iterasi %d:\nEksak: %.20f\nHampiran: %.20f\nGalat: %.20f\nGalat Relatif: %.20f\nGalat Relatif Hampiran: %.20f\n----------\n", N, eksak, sigma, galat, galat_rel, galat_rel_hp);

    }

    return 0;
}