taylor.cpp

//aproxima el sen(30°) por serie de taylor
#include<iostream>
#include<cmath>

using namespace std;

#define s30 0.5
double const Pi=4*atan(1); // Pi=3.14

double diff, expan, x;
int count, k;

/*
sin(x) = \sum_{k=0}^{\infty} \frac{(-1)^k x^{1+2k}}{(1+2k)!}
sin(30°) = 0.5     cout << sin(4*PI/180) << endl;
*/


double factorial (int num)
{
if (num==1)
return 1;
return factorial(num-1)*num;
}


int main()
{
 x = 30*(Pi/180);
 count = 1;
 for(k = 0; k <= 3; k++)
  {
   count++;
   expan += (pow(-1.0,k)*pow(x,(1+2*k)))/(factorial(1+2*k));
   cout << expan << endl;
//   diff = s30 - expan;
//   if ( diff == 1E-9)
//    {
//        cout << count << endl;
//     return 0;
//    }
  }

 return 0;
}