Trigonometric features of
radians for
one integer not divisible through 3 (e.g.,
and
) can not be express in terms of sums, products, and finite source extractions on rational numbers since 9 is not a product of distinctive Fermat primes. This also means that the constant nonagon is no a constructible polygon.
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Pi/9 on unit circleHowever, precise expressions involving roots of complicated numbers deserve to still bederived making use of the trigonometric identity

Let and . Then the over identity gives the cubic equation


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