Recurrent proofs of the irrationality of certain trigonometric values
Number Theory
2009-11-20 v1 History and Overview
Abstract
We use recurrences of integrals to give new and elementary proofs of the irrationality of pi, tan(r) for all nonzero rational r, and cos(r) for all nonzero rational r^2. Immediate consequences to other values of the elementary transcendental functions are also discussed.
Keywords
Cite
@article{arxiv.0911.1933,
title = {Recurrent proofs of the irrationality of certain trigonometric values},
author = {Li Zhou and Lubomir Markov},
journal= {arXiv preprint arXiv:0911.1933},
year = {2009}
}