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


A) 4(cos⁡70∘+isin⁡70∘) ,4(cos⁡160∘+isin⁡160∘) ,4(cos⁡250∘+isin⁡250∘) ,4(cos⁡340∘+isin⁡340∘) 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(cos⁡280∘+isin⁡280∘) ,4(cos⁡370∘+isin⁡370∘) ,4(cos⁡460∘+isin⁡460∘) ,4(cos⁡190∘+isin⁡190∘) 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(cos⁡140∘+isin⁡140∘) ,4(cos⁡230∘+isin⁡230∘) ,4(cos⁡320∘+isin⁡320∘) ,4(cos⁡50∘+isin⁡50∘) 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(cos⁡70∘+isin⁡70∘) ,4(cos⁡160∘+isin⁡160∘) ,4(cos⁡320∘+isin⁡320∘) ,4(cos⁡50∘+isin⁡50∘) 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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