Open AccessAlgebraic trigonometric values at rational multipliers of π
Author(s) -
Pinthira Tangsupphathawat
Publication year - 2014
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2014.18.02
Subject(s) - inverse trigonometric functions , algebraic number , mathematics , trigonometric functions , trigonometry , degree (music) , pure mathematics , algebra over a field , mathematical analysis , physics , geometry , acoustics
The problem of finding all algebraic values of α ∈ [−1; 1] when arccos α arcsin α and arctan α are rational multiples of π is solved. The values of such α of degree less than five are explicitly determined.
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