Find All Cube Roots of the Complex Number $4 \operatorname { cis } 0 ^ { \circ } , 4 \operatorname { cis } 120 ^ { \circ } , 4 \operatorname { cis } 240 ^ { \circ }$

question 304

Multiple Choice

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

• A) \(4 \operatorname { cis } 0 ^ { \circ } , 4 \operatorname { cis } 120 ^ { \circ } , 4 \operatorname { cis } 240 ^ { \circ }\)
• B) \(4 \operatorname { cis } 0 ^ { \circ } , 4 \operatorname { cis } 60 ^ { \circ } , 4 \operatorname { cis } 120 ^ { \circ }\)
• C) \(4 \operatorname { cis } 45 ^ { \circ } , 4 \operatorname { cis } 165 ^ { \circ } , 4 \operatorname { cis } 325 ^ { \circ }\)
• D) \(4 \operatorname { cis } 90 ^ { \circ } , 4 \operatorname { cis } 210 ^ { \circ } , 4 \operatorname { cis } 330 ^ { \circ }\)

---

Definitions:

Constant Returns

A situation in production where increasing the inputs by any proportionate amount results in an equal proportionate increase in outputs.

Production Costs

The total expense incurred in manufacturing a product or providing a service, including labor, materials, and overhead costs.

Average Total Cost

The overall expenditure on production when split by the volume of products made.

Mixers

Devices or software used for blending or combining ingredients or sound channels into a cohesive output.