De moivres formula
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de Moivre’s formula |
de Moivre’s formula (common versions) |
(cosh(z) + sinh(z))^n = cosh(n z) + sinh(n z) for (n element Z and n>=0) (cosh(z) – sinh(z))^n = cosh(n z) – sinh(n z) for (n element Z and n>=0) (cos(z) + i sin(z))^n = cos(n z) + i sin(n z) for (n element Z and n>=0) (cos(z) – i sin(z))^n = cos(n z) – i sin(n z) for (n element Z and n>=0) |