On some trigonometric power sums
type: Item
instance of: scholarly article
title: On some trigonometric power sums
zbMATH Open document ID: 1001.33001
DOI: 10.1155/S0161171202007731
author: Hongwei Chen
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/49594
full work available at URL: S0161171202007731.html
review text: Some trigonometric identities are established, using the generating function method. Typical examples are: \(\sum^{n-1}_{k=1} \tan^2({k \pi\over n})= n(n-1)\), \(\sum^{n-1}_{k=1} \tan^4({k\pi \over n})= \frac 13 n(n-1) (n^2+n-3)\). The computer algebra system maple is used to carry out the complex calculations.
Mathematics Subject Classification ID: 33B10
zbMATH DE Number: 1779107
zbMATH Keywords: trigonometric
zbMATH Keywords: sums
zbMATH Keywords: identity
reviewed by: S. L. Kalla
describes a project that uses: Maple
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779107