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Simplify A) 3310310i\frac { 3 \sqrt { 3 } } { 10 } - \frac { 3 } { 10 } i

Question 18

Multiple Choice

Simplify. 3(cosπ3+isinπ3) 5(cosπ6+isinπ6) \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) 3310310i\frac { 3 \sqrt { 3 } } { 10 } - \frac { 3 } { 10 } i
B) 3103310i\frac { 3 } { 10 } - \frac { 3 \sqrt { 3 } } { 10 } i
C) 310+3310i\frac { 3 } { 10 } + \frac { 3 \sqrt { 3 } } { 10 } i
D) 3103310i- \frac { 3 } { 10 } - \frac { 3 \sqrt { 3 } } { 10 } i
E) 3310+310i\frac { 3 \sqrt { 3 } } { 10 } + \frac { 3 } { 10 } i

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