10922
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Cotes Identity
Cotes published in 1714 that
. Shift the range of
to explore the exponential relationship between cosine and sine.
Contributed by:
Michael Schreiber
SNAPSHOTS
DETAILS
Note that
for all
, but
only for
when
. Outside of this range the relation is
for some integer value of
.
RELATED LINKS
Euler Formula
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Cotes Identity
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CotesIdentity/
Contributed by:
Michael Schreiber
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
Powers of Complex Numbers
Michael Schreiber
De Moivre's Theorem for Trig Identities
Michael Croucher
Tetraviews of Elementary Functions
Michael Trott
Rotating by Powers of i
Michael Schreiber
Complex Slide Rule
Michael Rogers (Oxford College of Emory University)
The Roots of Unity in the Complex Plane
Rudolf Muradian
Inverse Fourier Sound
Michael Schreiber
Christmas Stocking Identity
Michael Schreiber
Integer Trigonometric Patterns
Stephen Wolfram
Laws of Exponents
George Beck
Related Topics
Complex Numbers
Exponents and Logarithms
Identities
Representations of Numbers
Browse all topics
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+