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Spinning Out Sine and Cosine

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)
After work by: Ed Packel and Stan Wagon in Animating Calculus: Mathematica Notebooks for the Laboratory

(18 lines omitted)

Contributed by: Bruce Atwood (Beloit College) and Stan Wagon (Macalester College)

After work by: Ed Packel and Stan Wagon in Animating Calculus: Mathematica Notebooks for the Laboratory

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