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- W1971377836 abstract "It is known that for 0 ≤ θ < 2π, where θ is a rational multiple of 2π, all of sin θ , cos θ , tan θ are irrational, except for exactly 16 values of θ which are rational multiples of 2π. In this paper, this same result is derived in a different way. Basically, this is done by expressing cos n θ as a polynomial in cos θ . Properties of this polynomial are then derived and used to prove the main results. Some interesting combinatorial identities using this polynomial are also obtained." @default.
- W1971377836 created "2016-06-24" @default.
- W1971377836 creator A5061941505 @default.
- W1971377836 date "2008-05-09" @default.
- W1971377836 modified "2023-09-26" @default.
- W1971377836 title "Rational Sines, Cosines, and Tangents of Rational Multiples of 2π" @default.
- W1971377836 doi "https://doi.org/10.3860/jrsce.v3i3.96" @default.
- W1971377836 hasPublicationYear "2008" @default.
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