I've just started learning c++ this week from the book, c++ from the beginning by jan skansholm, im working througth the exercises and have become stuck on this one:

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ..................

write a program to calculat sin(x), dont include terms in the sum less than 10^-5.

like I said im new to all of this so don't know where the problem(s) is.

the first program i tried was using a for loop:

```
#include <iostream>
#include <stdlib.h>
#include <math.h>
using namespace std;
int main()
{
const double epsilon = 1.0e-5;
double next_term, sum, x;
int fac, k, sign=1;
cout << "enter value for x: ";
cin >> x;
next_term = x;
sum = x;
fac = 1;
for (k=3; fabs(next_term)>=epsilon; k+=2)
{
for (int c=1; c<=k; c++)
fac*=c;
next_term = pow(x,k)/fac;
sum = sum+(next_term*sign);
sign = sign*-1;
}
cout << "sign(x) is: " << sum <<endl;
system("pause");
return 0;
}
```

i run the program and get nothing after i type in x.

then i tried a while loop:-

```
#include <iostream>
#include <stdlib.h>
using namespace std;
#include <math.h>
int main()
{
double fac, k, next_term, x, sum=0;
int sign=1;
cout<<"enter x: ";
cin >>x;
fac=1;
k=1;
while(fabs(next_term)>0.0001)
{
for (int c=1; c<=k; c++)
fac*=c;
next_term = ((pow(x,k))/fac)*sign;
sum = sum + next_term;
sign = sign*-1;
k=k+2;
}
cout << "\n\n\nresult is: " << sum;
system ("pause");
return 0;
}
```

fac=factorial, like 3! = 6

I'm obviously missing something or missing several things, any help would be great, thanks in advanced.