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Find all cube roots of 64 (cos 219 degrees +i sin 219 degrees)
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Find all cube roots of 64 (cos 219 degrees +i sin 219 degrees)
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Oct 16, 2019
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Find all cube roots of 64 (cos 219 degrees +i sin 219 degrees)
Mathematics
college
Sergey G
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Sergey G
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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°
Memius
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Oct 22, 2019
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Memius
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