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Find the Indicated Roots 256(cos280+isin280)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(cos280+isin280) 256 \left( \cos 280 ^ { \circ } + i \sin 280 ^ { \circ } \right)


A) 4(cos70+isin70) ,4(cos160+isin160) ,4(cos250+isin250) ,4(cos340+isin340) 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(cos280+isin280) ,4(cos370+isin370) ,4(cos460+isin460) ,4(cos190+isin190) 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(cos140+isin140) ,4(cos230+isin230) ,4(cos320+isin320) ,4(cos50+isin50) 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(cos70+isin70) ,4(cos160+isin160) ,4(cos320+isin320) ,4(cos50+isin50) 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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