File:HyperbolicAnimation.gif

Summary

Description
English: Animated plot of the trigonometric (circular) and hyperbolic functions. In red, curve of equation x² + y² = 1 (unit circle), and in blue, x² - y² = 1 (equilateral hyperbola), with the points (cos(θ),sin(θ)) and (1,tan(θ)) in red and (cosh(θ),sinh(θ)) and (1,tanh(θ)) in blue.
Français : Diagramme animé des fonctions trigonométriques usuelles et des fonctions hyperboliques En rouge, la courbe d'équation x² + y² = 1 (le cercle unité), et en bleu celle d'équation, x² - y² = 1 (l'hyperbole équilaterale), avec les points points (cos(θ),sin(θ)) et (1,tan(θ)) représentés en rouge, ainsi que (cosh(θ),sinh(θ)) et (1,tanh(θ)) représenté en bleu.
Date 10 November 2006 (original upload date)
Source Own work ;
Author Sam Derbyshire at English Wikipedia

Licensing

GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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This licensing tag was added to this file as part of the GFDL licensing update.
Category:CC-BY-SA-3.0-migrated#HyperbolicAnimation.gifCategory:License migration completed#HyperbolicAnimation.gifCategory:GFDL#HyperbolicAnimation.gif
Sam Derbyshire at the English-language Wikipedia, the copyright holder of this work, hereby publishes it under the following license:
Category:License migration redundant#HyperbolicAnimation.gif
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. Subject to disclaimers.
Category:GFDL-enCategory:Self-published work

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2006-11-10 22:28 Sam Derbyshire 489×443×7 (1142785 bytes) Animated plot of the trigonometric (circular) and hyperbolic functions. In red, curve of equation x² + y² = 1 (unit circle), and in blue, x² - y² = 1 (equilateral hyperbola), with the points (cos(θ),sin(θ)) and (1,tan(θ)) in red and (cosh(θ),sinh(


for red points,(1,tan∅)have the unlimited Y value; while (1,tanh∅)'s maximal y vlue is 1.That's what you see in this animated graph.

Category:Animations of geometry Category:Animated GIF files
Category:Animated GIF files Category:Animations of geometry Category:CC-BY-SA-3.0-migrated Category:GFDL Category:GFDL-en Category:License migration completed Category:License migration redundant Category:Self-published work