Trigonometric features of
one integer not divisible through 3 (e.g.,
) 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.
You are watching: Pi/9 on unit circle
However, precise expressions involving roots of complicated numbers deserve to still bederived making use of the trigonometric identity
and . Then the over identity gives the cubic equation
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