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Find All the Complex Roots B) C) D)

Question 187

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex fourth roots of -16 A) 2(cos45+isin45) ,2(cos135+isin135) ,2(cos225+isin225) ,16(cos315+isin315) 2 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , 2 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) , 2 \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right) , 16 \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)
B) 24(cos45+isin45) ,24(cos135+isin135) ,24(cos225+isin225) ,24(cos315+isin315) \sqrt [ 4 ] { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)
C) 2(cos90+isin90) ,2(cos180+isin180) ,2(cos270+isin270) ,2(cos360+isin360) 2 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , 2 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right) , 2 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right) , 2 \left( \cos 360 ^ { \circ } + i \sin 360 ^ { \circ } \right)
D) 16(cos45+isin45) ,16(cos135+isin135) ,16(cos225+isin225) ,16(cos315+isin315) 16 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , 16 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) , 16 \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right) , 16 \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)

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