Find Roots of Complex Numbers in Polar Form
-The Complex $64 \left( \cos 150 ^ { \circ } + \mathrm { i } \sin 150 ^ { \circ } \right)$

question 61

Multiple Choice

Find Roots of Complex Numbers in Polar Form
-The complex cube roots of $64 \left( \cos 150 ^ { \circ } + \mathrm { i } \sin 150 ^ { \circ } \right)$ (polar form)

• A) \(4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) , 4 \left( \cos 170 ^ { \circ } + i \sin 170 ^ { \circ } \right) , 4 \left( \cos 290 ^ { \circ } + i \sin 290 ^ { \circ } \right)\)
• B) \(4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) , 4 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , 4 \left( \cos 130 ^ { \circ } + i \sin 130 ^ { \circ } \right)\)
• C) \(- 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) , 4 \left( \cos 170 ^ { \circ } + i \sin 170 ^ { \circ } \right) , - 4 \left( \cos 290 ^ { \circ } + i \sin 290 ^ { \circ } \right)\)
• D) \(- 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) , 4 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) , - 4 \left( \cos 130 ^ { \circ } + i \sin 130 ^ { \circ } \right)\)

---

Definitions:

Storage Locker

A unit designed for the safekeeping of personal or commercial belongings, usually rentable at self-storage facilities.

Order of Eviction

A legal document issued by a court that directs a tenant to vacate a property within a specified timeframe due to violations such as non-payment of rent or breach of lease terms.

Breach of Contract

The violation of any of the agreed-upon terms and conditions of a binding contract, which may give rise to legal consequences for the party in breach.

Forcibly Evict

The act of removing a tenant from rental property by force or through legal proceedings because of violations of the lease or law.