File:Sine and Cosine fundamental relationship to Circle (and Helix).gif
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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)
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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. |
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| Source | Own work by uploader (.gif frames created in Powerpoint) |
| Author | Tdadamemd |
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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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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:54, 12 February 2012 | | 420 × 420 (308 KB) | Tdadamemd (talk | contribs) | 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 (talk | contribs) | {{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 |
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