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

int main(void)

{
int i;
float cosseno1, cosseno2, h, x;
double dcosseno1, dh, dx; 

x  = 1.0;
dx = 1.0;
h  = 1.0;
dh = 1.0;

for (i = 0; i < 170; i++)
    {
    cosseno1 = (sin(x + h) - sin(x))/h;

    cosseno2 = (sin(x + h) - sin(x - h))/(2.0 * h);

    dcosseno1 = (sin(dx + dh) - sin(dx))/dh;

    printf("%e %e %e %e \n", h, fabs(cosseno1 - cos(x)), fabs (dcosseno1 - cos(dx)), fabs(cosseno2 - cos(x)));

    h = h/1.2;

    dh = dh/1.2;
    }
}