Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148125 | Journal of Statistical Planning and Inference | 2010 | 4 Pages |
Abstract
We provide a combinatorial proof of the trigonometric identity cos(nθ)=Tn(cosθ), where TnTn is the Chebyshev polynomial of the first kind. We also provide combinatorial proofs of other trigonometric identities, including those involving Chebyshev polynomials of the second kind.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, Mark Shattuck,