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

question 10

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:

Repeated Games

A strategic scenario in which the same game or situation is played multiple times, allowing for strategy evolution based on past outcomes.

Simultaneous

Occurring, operating, or done at the same time.

Sequential Decision

A process of making decisions one after another, where each decision is dependent on the outcome of previous decisions.

Collusion

An agreement, usually secretive, between two or more parties to limit competition, set prices, or manipulate market conditions.