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Find the Indicated Roots 243(cos200+isin200)243 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right)

Question 302

Multiple Choice

Find the indicated roots. Write the answer in polar form.
-Fifth roots of 243(cos200+isin200) 243 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right)


A) 3(cos200+isin200) ,3(cos290+isin290) ,3(cos380+isin380) ,3(cos470+isin470) 3 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right) , 3 \left( \cos 290 ^ { \circ } + i \sin 290 ^ { \circ } \right) , 3 \left( \cos 380 ^ { \circ } + i \sin 380 ^ { \circ } \right) , 3 \left( \cos 470 ^ { \circ } + i \sin 470 ^ { \circ } \right) , 3(cos515+isin515) 3 \left( \cos 515 ^ { \circ } + i \sin 515 ^ { \circ } \right)
B) 3(cos200+isin200) ,3(cos272+isin272) ,3(cos344+isin344) ,3(cos416+isin416) 3 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right) , 3 \left( \cos 272 ^ { \circ } + i \sin 272 ^ { \circ } \right) , 3 \left( \cos 344 ^ { \circ } + i \sin 344 ^ { \circ } \right) , 3 \left( \cos 416 ^ { \circ } + i \sin 416 ^ { \circ } \right) , 3(cos488+isin488) 3 \left( \cos 488 ^ { \circ } + i \sin 488 ^ { \circ } \right)
C) 3(cos40+isin40) ,3(cos130+isin130) ,3(cos220+isin220) ,3(cos310+isin310) 3 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right) , 3 \left( \cos 130 ^ { \circ } + i \sin 130 ^ { \circ } \right) , 3 \left( \cos 220 ^ { \circ } + i \sin 220 ^ { \circ } \right) , 3 \left( \cos 310 ^ { \circ } + i \sin 310 ^ { \circ } \right) , 3(cos355+isin355) 3 \left( \cos 355 ^ { \circ } + i \sin 355 ^ { \circ } \right)
D) 3(cos40+isin40) ,3(cos112+isin112) ,3(cos184+isin184) ,3(cos256+isin256) 3 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right) , 3 \left( \cos 112 ^ { \circ } + i \sin 112 ^ { \circ } \right) , 3 \left( \cos 184 ^ { \circ } + i \sin 184 ^ { \circ } \right) , 3 \left( \cos 256 ^ { \circ } + i \sin 256 ^ { \circ } \right) , 3(cos328+isin328) 3 \left( \cos 328 ^ { \circ } + i \sin 328 ^ { \circ } \right)

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