de Moivre's formula

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo complex numbers
integer exponents
gptkbp:component cosine function
sine function
imaginary unit
gptkbp:field complex analysis
trigonometry
https://www.w3.org/2000/01/rdf-schema#label de Moivre's formula
gptkbp:namedAfter gptkb:Abraham_de_Moivre
gptkbp:publishedIn 1707
gptkbp:relatedTo gptkb:Euler's_formula
roots of unity
gptkbp:statedIn (cos x + i sin x)^n = cos(nx) + i sin(nx)
gptkbp:usedFor deriving trigonometric identities
finding powers of complex numbers
gptkbp:bfsParent gptkb:Euler's_formula
gptkbp:bfsLayer 5