Write the Complex Number Shown Below in Trigonometric Form $6 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)$

question 4

Multiple Choice

Write the complex number shown below in trigonometric form.

• A) \(6 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\)
• B) \(6 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)\)
• C) \(6 \left( \cos \frac { 5 \pi } { 3 } + i \sin \frac { 5 \pi } { 3 } \right)\)
• D) \(6 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)\)
• E) \(6 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)\)

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Definitions:

Behavioral Similarities

The extent to which individuals in a group or setting exhibit common patterns or types of behavior.

Locus of Control

Locus of control is a psychological concept referring to an individual's belief about the extent to which their actions can influence outcomes, divided into internal and external loci of control.

External

pertains to factors, conditions, or influences that exist outside of an individual, group, or organization which can impact performance, outcomes, or decision-making.

Fate

A predetermined course of events often considered inevitable or outside human control.