*

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.

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


*

Let

*
and
*
. Then the over identity gives the cubic equation


*

*

*

(9)

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