Find All Cube Roots of the Complex Number $27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)$

question 196

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)$

• A) \(3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ }\)
• B) \(3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 173 ^ { \circ } , 3\) cis \(53 ^ { \circ }\)
• C) \(3 \operatorname { cis } 203 ^ { \circ } , 3 \operatorname { cis } 263 ^ { \circ } , 3 \operatorname { cis } 143 ^ { \circ }\)
• D) \(3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 353 ^ { \circ }\)

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