English Title

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

Authors

Leonhard Euler

Catalog Number

ENE747

Enestrom Number

747

Fuss Index

152

Original Language

Latin

Published as

Journal article

Published Date

1815

Written Date

1780

Content Summary

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

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 5, pp. 57-72.

Opera Omnia Citation

Series 1, Volume 16B, pp.214-231.

Record Created

2018-09-25

Included in

Mathematics Commons

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