File:HyperbolicAnimation.gif

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File:HyperbolicAnimation.gif - Wikipedia

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Summary

DescriptionHyperbolicAnimation.gif	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

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.

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
	This licensing tag was added to this file as part of the GFDL licensing update.CC BY-SA 3.0truetrue

Sam Derbyshire at the English-language Wikipedia, the copyright holder of this work, hereby publishes it under the following license:

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 xÂ² + yÂ² = 1 (unit circle), and in blue, xÂ² - yÂ² = 1 (equilateral hyperbola), with the points (cos(Î¸),sin(Î¸)) and (1,tan(Î¸)) in red and (cosh(Î¸),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.

File history

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	16:22, 2 May 2008		489 × 443 (1.09 MB)	File Upload Bot (Magnus Manske)	{{BotMoveToCommons\|en.wikipedia}} {{Information \|Description={{en\|Animated plot of the trigonometric (circular) and hyperbolic functions. In red, curve of equation xÂ² + yÂ² = 1 (unit circle), and in blue, xÂ² - yÂ² = 1 (equilateral hyperbola), w

File usage

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Global file usage

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Usage on ar.teknopedia.teknokrat.ac.id
Usage on el.wikipedia.org
- Τριγωνομετρική συνάρτηση
Usage on fi.wikipedia.org
- Hyperbolinen kulma
Usage on fr.teknopedia.teknokrat.ac.id
- Angle hyperbolique
Usage on he.wikipedia.org
- זווית היפרבולית
Usage on hu.wikipedia.org
- Hiperbolikus függvények
Usage on la.wikipedia.org
- Functiones hyperbolicae
Usage on ta.wikipedia.org
- அதிபரவளையக் கோணம்
Usage on zh-yue.wikipedia.org
- 雙曲函數

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copyright license

GNU Free Documentation License, version 1.2 or later

Creative Commons Attribution-ShareAlike 3.0 Unported

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10 November 2006

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