On the Rational Values of Trigonometric Functions of Angles that Are Rational in Degrees

DOI10.1080/0025570X.2021.1869479zbMath1467.11066OpenAlexW3155727653MaRDI QIDQ4997125

Giovanni Vincenzi, Bonaventura Paolillo

Publication date: 28 June 2021

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2021.1869479

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Plane and solid geometry (educational aspects) (97G40)

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An elementary proof of Niven's theorem via the tangent function ⋮ A DYNAMICAL SYSTEM PROOF OF NIVEN’S THEOREM AND ITS EXTENSIONS

Cites Work

• Grade School Triangles
• Incommensurability Proofs: A Pattern That Peters Out
• More Grade School Triangles
• Linear independence of trigonometric numbers
• A Simple Proof that, For Odd p > 1, arc cos1/p and π are Incommensurable
• Convergent Monotone Series
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