Problem : Calculate value of sin(x)

// I have made some changes in input output statements so that you dont copy this question in OJ but you can derieve motivation from it.

#include<stdio.h>
#include<iostream>
#include<math.h>
using namespace std;
unsigned long long int fact(int a)
{
    unsigned long long int f=1;
    for(int i=1;i<=a;i++)
    {
        f=f*i;
    }
    cout<<"the fact "<<f<<"\n";
    return f;
}
int main()
{
    double x;
    cin>>x;
    double radian=3.14159265358979323846264*x/180;
   
    int t=1;
    double sum=0.0;
    for(int i=1;i<=58;i+=2)   //58 is the limit
    {
       
        sum=sum+((t)*pow(radian,i)/fact(i));
        cout<<sum<<"\n";
        t*=-1;
       
    }
    cout<<"the final sum "<<sum;
}