File:Cosinus2.gif
Summary
| Description |
English: The cosine function on the interval is obtained from the cosine function on the interval
Deutsch: Die Kosinusfunktion auf dem Intervall geht aus der Kosinusfunktion auf dem Intervall hervor |
| Date | |
| Source | Own work |
| Author | Auswahlaxiom |
| GIF development | |
| Source code | Asymptote codeimport graph;
unitsize(3cm);
real dt = 0.04;
int n = 0;
void ship() {
write(n);
shipout(outprefix() + format("-%04d", n));
++n;
}
pen fix = rgb(0.3, 0, 0.7)+linewidth(2);
pen trans = rgb(0.7, 0, 0.3)+linewidth(2);
string pilabel(real x) {
int n = floor(2*x/pi+0.5);
if(n % 2 == 0) {
return "$"+(n!=2 ? format("%d", n#2) : "")+"\pi$";
} else {
return "$\frac{"+(n!=1 ? format("%d", n) : "")+"\pi}2$";
}
}
xaxis(Label("$x$", EndPoint, 2*E), 0, pi+0.2, LeftTicks(pilabel, n=3, Step=pi/2, NoZero), EndArrow);
yaxis(Label("$y$", EndPoint, 2*N), -1.2, 1.2, LeftTicks(n=2, Step=1), EndArrow);
path cl = box(truepoint(SW), truepoint(NE));
draw(cl, invisible);
draw(graph(cos, 0, pi/2), fix);
clip(cl);
for(real t = 0; t+dt/2 < 1; t += dt) {
ship();
}
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(rotate(t*90, (pi/2, 0))*graph(cos, 0, pi/2), trans);
clip(cl);
ship();
restore();
}
save();
draw(graph(cos, pi/2, pi), fix);
clip(cl);
for(real t = 0; t+dt/2 < 1; t += dt) {
ship();
}
restore();
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(rotate(-t*90, (pi/2, 0))*graph(cos, pi/2, pi), trans);
clip(cl);
ship();
restore();
}
|
![{\displaystyle [0,\pi ]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3e2a912eda6ef1afe46a81b518fe9da64a832751)
![{\displaystyle [0,{\tfrac {\pi }{2}}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c406038f382a4125601d91fe4ee36262cbb60fef)
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