#include <stdio.h>
#include <math.h>

float horner_sin(float);

int main(void){
 float xmin,xmax,stepsize;
 float x;
 int n;

 printf("enter xmin:      \t");
//asking user to input a stating value xmin
 scanf("%f",&xmin);
//the value input by user is stored as float at address &xmin

 printf("enter xmax:      \t");
 scanf("%f",&xmax);

 printf("enter stepsize: \t");
 scanf("%f",&stepsize);

 x=xmin;//initializing x
 n=0;
printf("n\tx\t\tCsin\t\tMsin\t\tError\n");
 while(x<xmax)
  {
   printf("%i\t%f\t%f\t%f\t%f\n",n,x,sin(x),horner_sin(x),sin(x)-horner_sin(x));
     x=x+stepsize;
   n++;
  }
 return 0;
}