Мячик во сне

#define _USE_MATH_DEFINES
#include <iostream>
#include <conio.h>
#include <string>
#include <set>
#include <map>
#include <algorithm>
#include <string>
#include <math.h>
#include <vector>
#include <cmath>
#include <sstream>

using namespace std;

int main()
{
    double V, a, k, proms, S=0;

    cin >> V >> a >> k;

    proms = ((V*V)*sin(2 * ((a*3.1415926535) / 180))) / 10.0;
    S = proms;

    cout.setf(ios::fixed);
    cout.precision(2);

    while (proms > 0.0000000001)
    {
        proms /=k;
        if (proms > 0.0000000001)
        {
            S += proms;
        }
    }

    cout << S;


    _getch();
    return 0;
}