Find the Indicated Roots $27 \left( \cos 321 ^ { \circ } + i \sin 321 ^ { \circ } \right)$

question 231

Multiple Choice

Find the indicated roots. Write the answer in polar form.
-Cube roots of $27 \left( \cos 321 ^ { \circ } + i \sin 321 ^ { \circ } \right)$

• A) \(3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right) , 3 \left( \cos 347 ^ { \circ } + i \sin 347 ^ { \circ } \right)\)
• B) \(3 \left( \cos 197 ^ { \circ } + i \sin 197 ^ { \circ } \right) , 3 \left( \cos 257 ^ { \circ } + i \sin 257 ^ { \circ } \right) , 3 \left( \cos 137 ^ { \circ } + i \sin 137 ^ { \circ } \right)\)
• C) \(3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 167 ^ { \circ } + i \sin 167 ^ { \circ } \right) , 3 \left( \cos 47 ^ { \circ } + i \sin 47 ^ { \circ } \right)\)
• D) \(3 \left( \cos 107 ^ { \circ } + i \sin 107 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right) , 3 \left( \cos 227 ^ { \circ } + i \sin 227 ^ { \circ } \right)\)

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