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Find the Indicated Roots 243(cos⁡200∘+isin⁡200∘)243 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right)

Question 286

Multiple Choice

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


A) 3(cos⁡200∘+isin⁡200∘) ,3(cos⁡290∘+isin⁡290∘) ,3(cos⁡380∘+isin⁡380∘) ,3(cos⁡470∘+isin⁡470∘) 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(cos⁡515∘+isin⁡515∘) 3 \left( \cos 515 ^ { \circ } + i \sin 515 ^ { \circ } \right)
B) 3(cos⁡200∘+isin⁡200∘) ,3(cos⁡272∘+isin⁡272∘) ,3(cos⁡344∘+isin⁡344∘) ,3(cos⁡416∘+isin⁡416∘) 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(cos⁡488∘+isin⁡488∘) 3 \left( \cos 488 ^ { \circ } + i \sin 488 ^ { \circ } \right)
C) 3(cos⁡40∘+isin⁡40∘) ,3(cos⁡130∘+isin⁡130∘) ,3(cos⁡220∘+isin⁡220∘) ,3(cos⁡310∘+isin⁡310∘) 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(cos⁡355∘+isin⁡355∘) 3 \left( \cos 355 ^ { \circ } + i \sin 355 ^ { \circ } \right)
D) 3(cos⁡40∘+isin⁡40∘) ,3(cos⁡112∘+isin⁡112∘) ,3(cos⁡184∘+isin⁡184∘) ,3(cos⁡256∘+isin⁡256∘) 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(cos⁡328∘+isin⁡328∘) 3 \left( \cos 328 ^ { \circ } + i \sin 328 ^ { \circ } \right)

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