Find All Cube Roots of the Complex Number $$- 64 i$$

question 289

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $$- 64 i$$

• A) \(4 \operatorname { cis } 90 ^ { \circ } , 4\) cis \(^ { \circ } 210,4\) cis \(330 ^ { \circ }\)
• B) 4 cis \(90 ^ { \circ } , 4 \operatorname { cis } ^ { \circ } 180,4\) cis \(270 ^ { \circ }\)
• C) \(4 \operatorname { cis } 30 ^ { \circ } , 4\) cis \(^ { \circ } 60,4 \operatorname { cis } 90 ^ { \circ }\)
• D) 4 cis \({ } ^ { \circ } 210 , , 4 \operatorname { cis } 270 ^ { \circ } , 4 \operatorname { cis } 330 ^ { \circ }\)

---

Definitions:

Lupus

An autoimmune disease where the body's immune system mistakenly attacks healthy tissue, affecting skin, joints, kidneys, brain, and other organs.

Stress Hormones

Chemicals, like cortisol, released into the body in response to stress, affecting various bodily functions.

Bacterial and Viral Infections

Diseases caused by the invasion of the body by bacteria and viruses, leading to illness and requiring different methods of treatment.

Inflammation

A biological response to harmful stimuli, marked by redness, heat, swelling, and pain, which is part of the body's immune response.