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Find All the Complex Roots 2i- 2 i A) 32(cos342+isin342)32 \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)

Question 206

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex fifth roots of 2i- 2 i


A) 32(cos54+isin54) ,32(cos126+isin126) ,32(cos198+isin198) ,32(cos270+isin270) 32 \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , 32 \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , 32 \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , 32 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right) , 32(cos342+isin342) 32 \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)
B) 25(cos54+isin54) ,25(cos126+isin126) ,25(cos198+isin198) ,25(cos270+isin270) \sqrt [ 5 ] { 2 } \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right) , 25(cos342+isin342) \sqrt [ 5 ] { 2 } \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)

C) 25(cos45+isin45) ,25(cos117+isin117) ,25(cos189+isin189) ,25(cos261+isin261) \sqrt [ 5 ] { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 117 ^ { \circ } + i \sin 117 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 189 ^ { \circ } + i \sin 189 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 261 ^ { \circ } + i \sin 261 ^ { \circ } \right) , 25(cos333+isin333) \sqrt [ 5 ] { 2 } \left( \cos 333 ^ { \circ } + i \sin 333 ^ { \circ } \right)

D) 24(cos54+isin54) ,24(cos126+isin126) ,24(cos198+isin198) ,24(cos270+isin270) \sqrt [ 4 ] { 2 } \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right) , 24(cos342+isin342) \sqrt [ 4 ] { 2 } \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)

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