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Find All the Complex Roots −8i- 8 \mathrm { i }

Question 3

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex cube roots of −8i- 8 \mathrm { i }


A) 2(cos⁡90∘+isin⁡90∘) ,2(cos⁡210∘+isin⁡210∘) ,2(cos⁡330∘+isin⁡330∘) 2 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , 2 \left( \cos 210 ^ { \circ } + i \sin 210 ^ { \circ } \right) , 2 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)
B) 512(cos⁡90∘+isin⁡90∘) ,512(cos⁡210∘+isin⁡210∘) ,512(cos⁡330∘+isin⁡330∘) 512 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , 512 \left( \cos 210 ^ { \circ } + i \sin 210 ^ { \circ } \right) , 512 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)
C) 8(cos⁡90∘+isin⁡90∘) ,8(cos⁡210∘+isin⁡210∘) ,8(cos⁡330∘+isin⁡330∘) 8 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , 8 \left( \cos 210 ^ { \circ } + i \sin 210 ^ { \circ } \right) , 8 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)
D) 2(cos⁡180∘+isin⁡180∘) ,2(cos⁡300∘+isin⁡300∘) ,2(cos⁡60∘+isin⁡60∘) 2 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right) , 2 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right) , 2 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right)

Correct Answer:

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