Divide the Complex Numbers Below and Leave the Result in Trigonometric

Divide the complex numbers below and leave the result in trigonometric form. $$\frac { 4 ( \cos ( 7 \pi / 10 ) + i \sin ( 7 \pi / 10 ) ) } { 10 ( \cos ( 3 \pi / 7 ) + i \sin ( 3 \pi / 7 ) ) }$$

A) $\cos \frac { 79 } { 70 } \pi + i \sin \frac { 79 } { 70 } \pi$ ​
B) ​ $\cos \frac { 19 } { 70 } \pi + i \sin \frac { 19 } { 70 } \pi$
C) ​ $\frac { 2 } { 5 } \left( \cos \frac { 79 } { 70 } \pi + i \sin \frac { 79 } { 70 } \pi \right)$
D) ​ $\frac { 2 } { 5 } \left( \cos \frac { 2 } { 35 } \pi + i \sin \frac { 2 } { 35 } \pi \right)$
E) ​ $\frac { 2 } { 5 } \left( \cos \frac { 19 } { 70 } \pi + i \sin \frac { 19 } { 70 } \pi \right)$

Correct Answer:

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