Mathc initiation/a281
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c00b.c |
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/* ------------------------------------ */
/* Save as : c00b.c */
/* ------------------------------------ */
#include "x_hfile.h"
#include "fb.h"
/* ------------------------------------ */
int main(void)
{
double t = PI/6.;
clrscrn();
printf(" Calculate the slope of the tangent of a polar curve\n\n\n"
" r : t-> %s \n\n"
" t = %+.2f \n\n\n", req, t);
printf(" x(t) = r(t) cos(t) \n"
" y(t) = r(t) sin(t)\n\n\n"
" dy dy/dt r(t) cos(t) + r'(t) sin(t) \n"
" -- = ----- = -------------------------- \n"
" dx dx/dt -r(t) sin(t) + r'(t) cos(t) \n\n\n");
stop();
clrscrn();
printf(" r : t-> %s \n\n"
" t = %+.2f \n\n\n", req, t);
printf(" Compute the derivative of r when t = %0.3f\n\n"
" with dy_dx(%0.3f) = %0.8f Verify -> %0.8f\n\n\n",
t, t, dy_dx(r, t, H),
3*sqrt(3.)/5. );
printf(" The equation of the tangente \n\n");
eq_tan(t,r);
stop();
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
Calculate the slope of the tangent of a polar curve
r : t-> sec(2.*t)
t = +0.52
x(t) = r(t) cos(t)
y(t) = r(t) sin(t)
dy dy/dt r(t) cos(t) + r'(t) sin(t)
-- = ----- = --------------------------
dx dx/dt -r(t) sin(t) + r'(t) cos(t)
Press return to continue.
Exemple de sortie écran :
r : t-> sec(2.*t)
t = +0.52
Compute the derivative of r when t = 0.524
with dy_dx(0.524) = 1.03923040 Verify -> 1.03923048
The equation of the tangente
1.039230400*t -0.799999853
Press return to continue.