11428
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Cosine and Sine of the Sum of Two Angles
The formulas for
and
are derived using purely geometric reasoning, avoiding the usual cumbersome algebraic manipulations. Proceed through steps 1–5 to follow the derivation.
Contributed by:
Tomas Garza
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
RELATED LINKS
Trigonometric Addition Formulas
(
Wolfram
MathWorld
)
PERMANENT CITATION
Tomas Garza
"
Cosine and Sine of the Sum of Two Angles
"
http://demonstrations.wolfram.com/CosineAndSineOfTheSumOfTwoAngles/
Wolfram Demonstrations Project
Published: July 1, 2011
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
Squares of Sine and Cosine
Izidor Hafner
Dissection Proof of the Addition Formula for Sines
Izidor Hafner
Two Visual Proofs of a Basic Trigonometric Identity
Izidor Hafner
Areas of the Lens and Two Lunes of Two Intersecting Circles
Tomas Garza
The Sum of the Interior Angles of a Triangle Equals 180 Degrees by Paper Folding
Sean G. Corcoran (Virginia Tech)
Thales's Theorem: A Vector-Based Proof
Tomas Garza
The Medians of a Triangle Divide It into Three Smaller Triangles of Equal Area
Tomas Garza
The Centroid of a Triangle Divides Each Median in the Ratio 1:2
Tomas Garza
The Medians of a Triangle Are Concurrent: A Visual Proof
Tomas Garza
Da Vinci's Proof of the Pythagorean Theorem
Tomas Garza
Related Topics
Plane Geometry
Theorem Proving
Trigonometric Functions
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSF-TF.C.9
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+