English Title
On remarkable series, by which the sines and cosines of multiplied angles may be expressed
Enestrom Number
747
Fuss Index
152
Original Language
Latin
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.
Published as
Journal article
Published Date
1815
Written Date
1780
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