Algebraic trigonometric values at rational multipliers of π

Authors

  • Pinthira Tangsupphathawat Department of Mathematics, Faculty of Science and Technology, Phranakhon Rajabhat University, Bangkok 10220

DOI:

https://doi.org/10.12697/ACUTM.2014.18.02

Keywords:

trigonometric functions, algebraic values, multiples of ?

Abstract

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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Published

2014-06-25

Issue

Vol. 18 No. 1 (2014)

Section

Articles