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Find All Cube Roots of the Complex Number 27(cos339+isin339)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(cos339+isin339) 27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)


A) 3cis113,3cis233,3cis2333 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ }
B) 3cis113,3cis173,33 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 173 ^ { \circ } , 3 cis 5353 ^ { \circ }
C) 3cis203,3cis263,3cis1433 \operatorname { cis } 203 ^ { \circ } , 3 \operatorname { cis } 263 ^ { \circ } , 3 \operatorname { cis } 143 ^ { \circ }
D) 3cis113,3cis233,3cis3533 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 353 ^ { \circ }

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