joudk8147 joudk8147
  • 18-04-2018
  • Mathematics
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Find all cube roots of 64 (cos 219 degrees +i sin 219 degrees)

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sqdancefan
sqdancefan sqdancefan
  • 18-04-2018
The principal root is
  (64∠219°)^(1/3) = (64)^(1/3)∠(219°/3) = 4∠73°

The other two roots are 120° and 240° from this, so the three roots are
  4∠73°
  4∠193°
  4∠313°
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