zolowski zolowski
  • 18-08-2017
  • Mathematics
contestada

Find the value of |z| where z^3 = i, first write |i| in polar form.

Respuesta :

LammettHash
LammettHash LammettHash
  • 19-08-2017
[tex]z^3=i=e^{i\pi/2}\implies z\in\left\{e^{i\pi/6},e^{5i\pi/6},e^{3i\pi/2}\right\}[/tex]

In each case, [tex]|z|=1[/tex].
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