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

question 182

Multiple Choice

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

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

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Definitions:

Asymetrical

Having parts that fail to correspond to one another in shape, size, or arrangement; lacking symmetry.

Anesthetize

The process of using drugs to induce a temporary state of insensitivity or unconsciousness for medical procedures.

Arousal

A state of physiological and psychological readiness or excitement, often sexual in nature but can also refer to general alertness or wakefulness.

Abrasion

A wound caused by superficial damage to the skin, typically not deeper than the epidermis.