File:Cosinus5.gif
Jump to navigation
Jump to search
Size of this preview: 800 × 150 pixels. Other resolution: 920 × 172 pixels.
Original file (920 × 172 pixels, file size: 1.24 MB, MIME type: image/gif, looped, 467 frames, 22 s)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| Description |
English: The cosine function is obtained from the cosine function on the interval
Deutsch: Die Kosinusfunktion geht aus der Kosinusfunktion auf dem Intervall hervor |
| Date | |
| Source | Own work |
| Author | Auswahlaxiom |
| GIF development | |
| Source code | Asymptote codeimport graph;
unitsize(1.5cm);
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, 5*pi+0.4, LeftTicks(pilabel, n=3, Step=pi/2, NoZero), EndArrow);
yaxis(Label("$y$", EndPoint, 2*N), -1.4, 1.4, 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 < 2; t += dt) {
save();
draw(yscale(cos(t*pi/2))*shift(t*pi/2, 0)*graph(cos, 0, pi), trans);
clip(cl);
ship();
restore();
}
save();
draw(graph(cos, pi, 2*pi), fix);
clip(cl);
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(t*pi, 0)*graph(cos, 0, 2*pi), trans);
clip(cl);
ship();
restore();
}
save();
draw(graph(cos, 2*pi, 4*pi), fix);
clip(cl);
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(t*pi, 0)*graph(cos, 2*pi, 4*pi), trans);
clip(cl);
ship();
restore();
}
save();
draw(graph(cos, 4*pi, 6*pi), fix);
clip(cl);
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(t*pi, 0)*graph(cos, 4*pi, 6*pi), trans);
clip(cl);
ship();
restore();
}
for(real t = 0; t+dt/2 < 1; t += dt) {
ship();
}
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(-t*pi, 0)*graph(cos, 6*pi, 8*pi), trans);
clip(cl);
ship();
restore();
}
restore();
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(-t*pi, 0)*graph(cos, 4*pi, 6*pi), trans);
clip(cl);
ship();
restore();
}
restore();
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(shift(-t*pi, 0)*graph(cos, 2*pi, 4*pi), trans);
clip(cl);
ship();
restore();
}
restore();
for(real t = 0; t+dt/2 < 2; t += dt) {
save();
draw(yscale(cos(t*pi/2))*shift(-t*pi/2, 0)*graph(cos, pi, 2*pi), trans);
clip(cl);
ship();
restore();
}
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,{\tfrac {\pi }{2}}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c406038f382a4125601d91fe4ee36262cbb60fef)
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:34, 28 March 2017 | | 920 × 172 (1.24 MB) | Auswahlaxiom (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikibooks.org
