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23 April, 08:15

Find all cube roots of 64 (cos 219 degrees + i sin 219 degrees)

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  1. 23 April, 09:20
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    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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