Which polynomial is cos(π/n) a root of? – mathoverflow.net

Which polynomial is cos(π/n) a root of? – mathoverflow.net

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I know that $\cos(\pi/n)$ is a root of the Chebyshev polynomial $(T_n + 1)$, in fact it is the largest root of that polynomial, but often that polynomial factors. For example, if $n = 2 k$ then ...

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