Peer reviewed
Direct linkERIC Number: EJ1417550
Record Type: Journal
Publication Date: 2024
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: EISSN-1464-5211
Available Date: N/A
On an Extension of Niven's Theorem
International Journal of Mathematical Education in Science and Technology, v55 n4 p1024-1031 2024
For a given rational number r, a classical theorem of Niven asserts that if cos(rp) is rational, then cos(rp) [element-of] {0,±1,±1/2}. In this note, we extend Niven's theorem to quadratic irrationalities and present an elementary proof of that.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
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