Simplify A) $\frac { 3 \sqrt { 3 } } { 10 } - \frac { 3 } { 10 } i$

question 18

Multiple Choice

Simplify. $$\frac { 3 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right) } { 5 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right) }$$

• A) \(\frac { 3 \sqrt { 3 } } { 10 } - \frac { 3 } { 10 } i\)
• B) \(\frac { 3 } { 10 } - \frac { 3 \sqrt { 3 } } { 10 } i\)
• C) \(\frac { 3 } { 10 } + \frac { 3 \sqrt { 3 } } { 10 } i\)
• D) \(- \frac { 3 } { 10 } - \frac { 3 \sqrt { 3 } } { 10 } i\)
• E) \(\frac { 3 \sqrt { 3 } } { 10 } + \frac { 3 } { 10 } i\)

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Definitions:

Body Movements

Physical actions or gestures made by the body, often studied in psychology to understand emotion, communication, and behavior.

Leaning Forward

The physical act or metaphorical concept of showing interest or eagerness towards something by inclining forward.

Neutral Object

An item or entity that does not inherently carry positive or negative connotations or provoke strong emotions.

Mere Exposure Effect

A psychological phenomenon where people tend to develop a preference for things merely because they are familiar with them.