A New Approach to Rational Values of Trigonometric Functions

Details A New Approach to Rational Values of Trigonometric Functions A New Approach to Rational Values of Trigonometric Functions

2009-04-06

arxiv.org/abs/0904.0826v2

Mathematics

History and Overview

4 pages, 2 figures, 5 references, with new 6th reference to an easier proof of my result

Scientific paper

It is well known that sin(a\pi/b), cos(a\pi/b), etc., are only rational
numbers for a few select integers a and b. We show that this is equivalent to
the fact that only for d = 1,2,3,4, and 6 is the primitive dth root of unity of
degree 2 over Q.

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