Cercle trigonométrique

Auteur ou autrice : Frédérick Moinard.

Mise en ligne le 28 novembre 2023

Code

% @auteur: Frédérick Moinard
% @date: 2005
beginfig(1);
numeric u ;
u=4.5cm;
 
for i=1 upto 11:
    draw (cosd(180+i*15)*u,sind(180+i*15)*u)--
         (cosd(i*15)*u,sind(i*15)*u) dashed evenly;
endfor;
 
 
 
drawarrow (-1.2*u,0)--(1.2*u,0) 
    withpen pencircle scaled 1.5 pt withcolor red;
drawarrow (0,-1.2*u)--(0,1.2*u) 
    withpen pencircle scaled 1.5 pt withcolor red;
draw fullcircle scaled 9cm 
    withcolor red withcolor blue;
 
label.ulft(btex $\pi$ etex scaled 1, (-u,0));
label.urt(btex $\pi \over 4$ etex scaled 1, 
    ((sqrt(2)/2)*u,(sqrt(2)/2)*u));
label.urt(btex $\pi \over 6$ etex scaled 1,
    ((sqrt(3)/2)*u,(1/2)*u));
label.urt(btex $\pi \over 3$ etex scaled 1, 
    ((1/2)*u,(sqrt(3)/2)*u));
dotlabel.top(btex $1 \over 2$ etex scaled 0.75, 
    ((1/2)*u,0));
dotlabel.rt(btex $1 \over 2$ etex scaled 0.75, 
    (0,(1/2)*u));
dotlabel.lft(btex $\sqrt(2) \over 2$ etex scaled 0.75, 
    (0*u,(sqrt(2)/2)*u));
dotlabel.bot(btex $\sqrt(2) \over 2$ etex scaled 0.75, 
    ((sqrt(2)/2)*u,0));
dotlabel.rt(btex $\sqrt(3) \over 2$ etex scaled 0.75, 
    (0*u,(sqrt(3)/2)*u));
dotlabel.top(btex $\sqrt(3) \over 2$ etex scaled 0.75, 
    ((sqrt(3)/2)*u,0));
label.urt(btex $\pi \over 2$ etex scaled 1, 
    (0,u));
 
endfig;
 
end