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Spinning Out Sine and Cosine

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Imagine a point that starts at and rotates counterclockwise on the unit circle. If is the length (in radians) of the arc on the circle between and the point, then as the point moves around the circle its and coordinates are the cosine and sine of .

Contributed by: Bruce Atwood (Beloit College) and Stan Wagon (Macalester College) (September 2007)
After work by: Ed Packel and Stan Wagon in Animating Calculus: Mathematica Notebooks for the Laboratory
Open content licensed under CC BY-NC-SA

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