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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
THINGS TO TRY
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RELATED LINKS
Cosine
(
Wolfram
MathWorld
)
Sine
(
Wolfram
MathWorld
)
PERMANENT CITATION
Bruce Atwood
(Beloit College) and
Stan Wagon
(Macalester College)
"
Spinning Out Sine and Cosine
"
http://demonstrations.wolfram.com/SpinningOutSineAndCosine/
Wolfram Demonstrations Project
Published: September 28, 2007
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSF-IF.C.7
HSF-TF.A.2
HSF-TF.A.3
HSF-TF.A.4