Write the Complex Number in Rectangular Form $$3 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$

question 81

Multiple Choice

Write the complex number in rectangular form.
- $$3 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$

• A) \(\frac { \sqrt { 3 } } { 6 } + \frac { \sqrt { 3 } } { 6 } \mathrm { i }\)
• B) \(\sqrt { 3 } + \mathrm { i }\)
• C) \(\frac { 3 } { 2 } + \frac { 3 \sqrt { 3 } } { 2 } \mathrm { i }\)
• D) \(\frac { \sqrt { 3 } } { 2 } + \frac { 3 \sqrt { 3 } } { 2 } \mathrm { i }\)

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Definitions:

Extraversion

A personality trait characterized by sociability, enthusiasm, and assertiveness, indicating an outward turning of emotional energy.

Self-concept

An idea of the self constructed from the beliefs one holds about oneself and the responses of others.

Congruent

In psychology, congruence refers to harmony and alignment between an individual's internal feelings, thoughts, and their external behaviors and situation.

Gut Feelings

Intuitive judgments or responses that are not derived from conscious reasoning but rather from an individual's instinct or intuition.