de Moivre's formula
theorem
Facts
8 properties- Instance of
- theorem, mathematical expression[2]
- Part of
- list of theorems[4]
- Defining formula
- \cos (n \theta) + \mathrm{i} \sin (n \theta) = (\cos \theta + \mathrm{i} \sin \theta)^n, [r(\cos\,\theta+j\sin\theta)]^n=r^n(\cos\, n\theta+j\,\sin\, n\theta)
- Described by source
- Great Soviet Encyclopedia (1926–1947), mathisfun.com, Khan Academy[5][6][7]
- In defining formula
- n, \mathrm{i}, \cos, \sin
- Maintained by WikiProject
- WikiProject Mathematics[10]
- Named after
- Abraham de Moivre[3]
- Studied by
- trigonometry, complex analysis[8][9]
🏷️ Also known as
en de Moivre's theorem
en de Moivre's formula
en de Moivre's identity
ar صيغة دي مويفير
ar صيغه دي مويفير
ar De Moivre's formula
ar صيغة دي موافر
ar صيغة دي موفير
cs Moivrova věta
cs De Moivrova formule
cs De Moivrova věta
cs Moivreova věta
da De Moivres formel
da De Movires formel
de moivrescher Satz
de Satz von de Moivre
de Formel von de Moivre
el θεώρημα de Moivre
el θεώρημα ντε Μουάβρ
el τύπος de Moivre
🔖 Identifiers · 14
- Brilliant Wiki ID
- de-moivres-theorem
- Digital Library of Mathematical Functions ID
- 1.9.E22
- Freebase ID
- /m/0frvl
- Gran Enciclopèdia Catalana ID
- formula-de-de-moivre
- Gran Enciclopèdia Catalana ID (former scheme)
- 0021976
- Great Russian Encyclopedia Online ID (2017)
- 2235920
- Great Russian Encyclopedia portal ID
- formula-muavra-43ae36
- Lex ID
- de_Moivres_formel
- Lexikon der Mathematik entry ID
- 2389
- MathWorld ID
- deMoivresIdentity
- Metamath statement ID
- demoivre
- Microsoft Academic ID (discontinued)
- 193137326
Show all 14 identifiers +2
- ProofWiki ID
- De_Moivre's_Formula
- Treccani's Enciclopedia della Matematica ID
- formula-di-moivre
🔗 Connections
Instance of 2
Studied by 2
Created notable works 1
Maintained by WikiProject 1
Named after 1
Part of 1
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Summary
de Moivre's formula is a theorem[1].