#include <iostream>
#include <cmath>

using namespace std;

double radians(double degrees)  // converts degrees to radians
{
    double radians;
    double const pi = 3.14159265358979323846;
    radians = (pi / 180) * degrees;
    return radians;
}

double fact(int x)  //calculates the factorial
{
    double fact = 1;
    for (; x >= 1; x--) {
        fact = x * fact;
    }
    return fact;
}

double sin(double x) {
    double sum = 0;
    int i = 1;
    int sign = 1;
    double term;
    do {
        term = pow(x, i) / fact(i);
        sum += sign * term;
        sign = -sign;
        i += 2;
    } while (term > 0.000001);

    return sum;
}


int main() {
    double n, output;
    cout << "Please enter the value in degrees: ";
    cin >> n;

    n = radians(n);
    cout << "The angle in radians is: " << n << endl;

    output = sin(n);

    cout << "The sinus is: " << output << endl;


    return 0;
}