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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