Une Démonstration d'Analycité de Fonctions Trigonométriques sans Usage du Calcul Infinitésimal

2008-06-11T02:24:03Z

2008-06-11T02:24:03Z

2003-03-01

In this note we shall give a proof that cos x and sin x can be developed into the Maclaurin series without using calculus. Our starting point is the following well-known inequalities; sin x ≤ x ≤ tan x (0 ≤ x < π/2). Of course, we shall make use of some basic facts of trigonometric functions obtained geometrically, like the addition rules of cos x and sin x.

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京都工芸繊維大学　工芸学部研究報告　第５１巻　理工・欧文(2002) pp.1-7

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http://hdl.handle.net/10212/1754

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