/* Calculate sin value using Taylor series expansion
   Emad Arasteh
   October 10, 2019
*/

#include <stdio.h>

int main() {

  /* variable declaration */
  double x, y, x_2, x_3;

  /* input section */
  printf("Please enter the input value (in radians): ");
  scanf("%lf", &x);

  /* computation */
  x_2 = x * x;
  x_3 = x * x * x;

  /* y = x - x*x*x/6 + x*x*x*x*x/120 + x*x*x*x*x*x*x/5040 */
  y = x - x_3/6 + x_3*x_2/120 - x*x_3*x_3*x/5040 - x_3*x_3*x_3/362880;

  /* output section */
  printf("The value of sin(%f) is %f \n", x, y);

  return 0;
}