Find the Standard Form of the Complex Number Shown Below $5 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)$

question 264

Multiple Choice

Find the standard form of the complex number shown below. $5 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)$

• A) \(- \frac { 5 \sqrt { 3 } } { 2 } - \frac { 5 } { 2 }\)
• B) \(\frac { 5 \sqrt { 3 } } { 4 } - \frac { 5 } { 4 }\)
• C) \(\frac { 2 } { 5 } - \frac { 2 \sqrt { 3 } } { 5 }\)
• D) \(\frac { 5 \sqrt { 3 } } { 2 } - \frac { 5 } { 2 }\)
• E) \(\frac { 5 \sqrt { 3 } } { 4 } + \frac { 5 } { 4 }\)

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Definitions:

Extraverts

Individuals who are outgoing, energized by social interactions, and tend to seek stimulation from their environment.

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Individuals characterized by a preference for quieter, more solitary activities over social interactions, often thoughtful and self-reflective.

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A state characterized by rapid and intense emotional changes, often seen in various psychological disorders.

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Psychologists who study personality and individual differences by focusing on measurable traits.