publication . Preprint . 2015

Other trigonometric proofs of Pythagoras theorem

Luzia, Nuno;
Open Access English
  • Published: 23 Feb 2015
Abstract
Only very recently a trigonometric proof of the Pythagoras theorem was given by Zimba \cite{1}, many authors thought this was not possible. In this note we give other trigonometric proofs of Pythagoras theorem by establishing, geometrically, the half-angle formula $\cos\theta=1-2\sin^2 \frac{\theta}{2}$.
Subjects
arXiv: Mathematics::History and Overview
free text keywords: Mathematics - General Mathematics
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[1] J. Zimba, On the Possibility of Trigonometric Proofs of the Pythagorean Theorem, Forum Geometricorum, Volume 9 (2009) 275-278.

Universidade Federal do Rio de Janeiro, Instituto de Matemática, Rio de Janeiro 21941-909, Brazil E-mail address: nuno@im.ufrj.br

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