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
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Cosine
(
Wolfram
MathWorld
)
Sine
(
Wolfram
MathWorld
)
"
Spinning Out Sine and Cosine
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SpinningOutSineAndCosine/
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
High School Geometry
High School Trigonometry
Trigonometric Functions
Sine, Cosine, Tangent and the Unit Circle
Sine and Cosine Graph Generator
Dintzl's Law of Cosines Dissection
Hunger's Law of Cosines Dissection
Exact Values for Sine and Cosine
Relationship of Sine and Cosine to the Unit Circle
Relationship between Sine and Tangent
Illustrating Sine with the Unit Circle
Illustrating Cosine with the Unit Circle II
Illustrating Cosine with the Unit Circle
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