File:Sine and Cosine fundamental relationship to Circle (and Helix).gif
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Summary
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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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| 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 |
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