//#include "master.h"
#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 at address &xmin

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

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



 x=xmin;//initializing x
 n=0;
 
  //printf("min\tmax\tstep\t");
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));
   //printf("the approx value of sin is %f\n",horner_sin(x));
   // printf("the exact value of sin is%f\n",sin(x));
   x=x+stepsize;
   n++;
  }

 //printf("xmin\txmax\tn\exactvalue\terror ");
 return 0;
}