11428
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Drag Locators
Gamepad Controls
Automatic Animation
SNAPSHOTS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Sine and Cosine Graph Generator
Ed Zaborowski (Franklin Road Academy)
Dintzl's Law of Cosines Dissection
Izidor Hafner
Hunger's Law of Cosines Dissection
Izidor Hafner
Sine and Cosine Helix
Abby Brown
Sine and Cosine in 3D
Brian Burns
Squares of Sine and Cosine
Izidor Hafner
A Sine/Cosine Identity
Jon Perry
Plotting a Sine or Cosine Wave
Christopher Wolfram
Cosine and Sine Identities with Dihedral Transformations
Gerry Harnett
Calculus-Free Derivatives of Sine and Cosine
B. D. S. Don McConnell
Related Topics
Trigonometric Functions
High School Algebra II and Trigonometry
High School Geometry
High School Mathematics
Browse all topics
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
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+