File:Sine and Cosine fundamental relationship to Circle (and Helix).gif
Jump to navigation
Jump to search
No higher resolution available.
Sine_and_Cosine_fundamental_relationship_to_Circle_(and_Helix).gif (420 × 420 pixels, file size: 308 KB, MIME type: image/gif, looped, 34 frames, 1 min 54 s)
|
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
Commons is a freely licensed media file repository. You can help. |
.gif){kind=small}
Summary
| Description |
English: Explaining the sine wave as geometrically fundamental as the circle. The sine function is the orthogonal projection of the rotated unit circle. The cosine function is also the projection of the unit circle, just 90 degrees out of phase with sine.
In three dimensions, the unit circle, sine and cosine are the unit helix as viewed from each axis. This fundamental geometry is expressed by Euler's formula. |
| Date | |
| Source | Own work by uploader (.gif frames created in Powerpoint) |
| Author | Tdadamemd |
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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.
|
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. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:54, 12 February 2012 | | 420 × 420 (308 KB) | Tdadamemd | Minor tweaks: removing duplicate frames, increasing pause at end and adding a momentary blank to indicate restart of the gif loop. |
| 03:53, 4 November 2008 |  | 420 × 420 (307 KB) | Tdadamemd | {{Information |Description={{en|1=Explaining the sine wave as geometrically fundamental as the circle. The sine function is the orthogonal projection of the rotated unit circle. The cosine function is also the projection of the unit circle, just 90 degr |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on ca.wikipedia.org
- Usage on en.wikipedia.org
- Usage on hi.wikipedia.org
- Usage on tr.wikipedia.org
.gif){kind=link}