Find All Cube Roots of the Complex Number $64 \left( \cos 237 ^ { \circ } + \mathrm { i } \sin 237 ^ { \circ } \right)$

question 192

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $64 \left( \cos 237 ^ { \circ } + \mathrm { i } \sin 237 ^ { \circ } \right)$

• A) \(4 \operatorname { cis } 79 ^ { \circ } , 4 \operatorname { cis } 139 ^ { \circ } , 4 \operatorname { cis } 19 ^ { \circ }\)
• B) \(4 \operatorname { cis } 79 ^ { \circ } , 4 \operatorname { cis } 199 ^ { \circ } , 4 \operatorname { cis } 319 ^ { \circ }\)
• C) \(4 \operatorname { cis } 169 ^ { \circ } , 4 \operatorname { cis } 229 ^ { \circ } , 4 \operatorname { cis } 109 ^ { \circ }\)
• D) \(4 \operatorname { cis } 79 ^ { \circ } , 4 \operatorname { cis } 199 ^ { \circ } , 4 \operatorname { cis } 199 ^ { \circ }\)

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