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Kaštel Stari © Zvonimir Barišin / Cropix
definition |
formula $\cos(n\alpha)+\sin(n\alpha)\cdot i=(\cos(\alpha)+\sin(\alpha)\cdot i)^n$ u kojoj je $n$ prirodni broj, a $\alpha$ kut ili realni broj |
synonyms |
admitted term: de Moivreova formula |
equivalents |
english: de Moivre's theorem, de Moivre's formula |
note |
Formula neizravno povezuje vrijednosti $\cos(nx), \sin(nx)$ s $\cos(x), \sin (x)$. Pripadajuće izravne formule pronašao je Francois Viete. |
classification |
polje: matematika |
source |