Algebraic trigonometric values at rational multipliers of π

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