{"title":"Identities and inequalities for the cosine and sine functions","authors":"I. Pinelis","doi":"10.7153/mia-2020-23-62","DOIUrl":null,"url":null,"abstract":"Identities and inequalities for the cosine and sine functions are obtained. 1. STATEMENTS AND DISCUSSION The basic result of this note is Theorem 1.1. For any real x (1.1) cosπx = ∞ ∑ j=1 t jπ j(1/4− x2) j,","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/mia-2020-23-62","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Identities and inequalities for the cosine and sine functions are obtained. 1. STATEMENTS AND DISCUSSION The basic result of this note is Theorem 1.1. For any real x (1.1) cosπx = ∞ ∑ j=1 t jπ j(1/4− x2) j,
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