Find the Indicated Roots $256 \left( \cos 280 ^ { \circ } + i \sin 280 ^ { \circ } \right)$

question 60

Multiple Choice

Find the indicated roots. Write the answer in polar form.
-Fourth roots of $256 \left( \cos 280 ^ { \circ } + i \sin 280 ^ { \circ } \right)$

• A) \(4 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right) , 4 \left( \cos 160 ^ { \circ } + i \sin 160 ^ { \circ } \right) , 4 \left( \cos 250 ^ { \circ } + i \sin 250 ^ { \circ } \right) , 4 \left( \cos 340 ^ { \circ } + i \sin 340 ^ { \circ } \right)\)
• B) \(4 \left( \cos 280 ^ { \circ } + i \sin 280 ^ { \circ } \right) , 4 \left( \cos 370 ^ { \circ } + i \sin 370 ^ { \circ } \right) , 4 \left( \cos 460 ^ { \circ } + i \sin 460 ^ { \circ } \right) , 4 \left( \cos 190 ^ { \circ } + i \sin 190 ^ { \circ } \right)\)
• C) \(4 \left( \cos 140 ^ { \circ } + i \sin 140 ^ { \circ } \right) , 4 \left( \cos 230 ^ { \circ } + i \sin 230 ^ { \circ } \right) , 4 \left( \cos 320 ^ { \circ } + i \sin 320 ^ { \circ } \right) , 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right)\)
• D) \(4 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right) , 4 \left( \cos 160 ^ { \circ } + i \sin 160 ^ { \circ } \right) , 4 \left( \cos 320 ^ { \circ } + i \sin 320 ^ { \circ } \right) , 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right)\)

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