Algebraic values of sines and cosines and their arguments

Algebraic values of sines and cosines and their arguments

The article introduces the reader to some amazing properties of trigonometric functions. It turns out that if the values of the arguments of the functions sin x, cos x, tg x and ctg x, expressed in radians, are algebraic numbers, then the values of these functions are transcendental numbers. Hence,...

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Bibliographic Details
Main Authors: Edmundas Mazėtis, Grigorijus Melničenko
Format: Article
Language:English
Published: Vilnius University Press 2021-03-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
trigonometric functions sin \alpha, cos \alpha, tg \alpha ir ctg \alpha
rational numbers
algebraic numbers
transcendental numbers
Lindemann–Weierstrass theorem
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/22717

Internet

https://www.zurnalai.vu.lt/LMR/article/view/22717

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