De Moivre's Theorem

de-moivres-theorem-1

(2) If z = (cos θ1 + i sin θ1) (cos θ2 + i sin θ2) (cos θ3 + i sin θ3)………… (cos θn + i sin θn)

then z = cos (θ1 + θ2 + θ3 + ……… + θn) + i sin (θ1 + θ2 + θ3 + ……… + θn)

where θ1 + θ2 + θ3 + ……… + θn ∈ R.

De Moivre's Theorem
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