Write the Expression in the Standard Form a + Bi $\left[ \sqrt { 3 } \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] ^ { 4 }$

question 252

Multiple Choice

Write the expression in the standard form a + bi.
- $\left[ \sqrt { 3 } \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] ^ { 4 }$

• A) \(- \frac { 9 } { 2 } - \frac { 9 \sqrt { 3 } } { 2 } \mathrm { i }\)
• B) \(- \frac { 9 } { 2 } + \frac { 9 \sqrt { 3 } } { 2 } \mathrm { i }\)
• C) \(- \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } \mathrm { i }\)
• D) \(- \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } \mathrm { i }\)

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Definitions:

Organizational Behaviour

The study of the behavior of individuals and groups in organizational settings and the influence of such behaviors on organizational performance.

Low Self-esteem

A psychological condition where an individual holds a low regard or value for themselves.

External Influences

Factors outside an individual or organization that can affect its behavior and performance, such as economic conditions, societal trends, or technological developments.

Extraversion

A personality trait characterized by outgoing, sociable, and energetic behaviors.