E747 -- De seriebus memorabilibus, quibus sinus et cosinus angulorum multiplorum exprimere licet

(On remarkable series, by which the sines and cosines of multiplied angles may be expressed)


Summary:

Euler starts with a power series expansion of cos(2xw) using binomial coefficients and unknown factors to the coefficients A, B, C, and does a similar thing on sin(2xw) and gets a couple of series expansions in terms of sin(nw) and sinnw.

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