Multiply the Complex Numbers Below and Leave the Result in Trigonometric

Multiply the complex numbers below and leave the result in trigonometric form. $$\left[ 7 \left( \cos \frac { 6 \pi } { 7 } + i \sin \frac { 6 \pi } { 7 } \right) \right] \left[ 2 \left( \cos \frac { 4 \pi } { 9 } + i \sin \frac { 4 \pi } { 9 } \right) \right]$$

A) $$9 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)$$
B) $$9 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)$$
C) $14 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)$
D) $14 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)$
E) $14 \left( \cos \frac { 58 \pi } { 63 } + i \sin \frac { 58 \pi } { 63 } \right)$

Correct Answer:

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