Find the Standard Form of the Complex Number Shown Below $$3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$$

Find the standard form of the complex number shown below. $$3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$$

A) $- \frac { 3 \sqrt { 3 } } { 4 } - \frac { 3 } { 4 } i$
B) ​ $- \frac { 2 } { 3 } - \frac { 2 \sqrt { 3 } } { 3 } i$
C) ​ $- \frac { 4 \sqrt { 3 } } { 3 } - \frac { 4 } { 3 } i$
D) ​ $- \frac { 3 \sqrt { 3 } } { 2 } - \frac { 3 } { 2 } i$
E) ​ $- \frac { 3 } { 2 } - \frac { 3 \sqrt { 3 } } { 2 } i$

Correct Answer:

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