General observations on series whose terms proceed as the sines and cosines of multiples of angles

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Euler, Leonhard
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Translated from the Latin original, "Observationes generales circa series, quarum termini secundum sinus vel cosinus angulorum multiplorum progrediuntur" (1777). E655 in the Enestrom index. Euler looks at the binomial expansion $(1+x)^n$ for $x=\cos \phi+i\sin\phi$. He does $n=$ positive and negative integers, and $n={1/2}, -{1/2}$, and particular values of $\phi$.
Comment: 12 pages. E655
Keywords
Mathematics - History and Overview, Mathematics - Classical Analysis and ODEs, 01A50
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