Perform the Operation Shown Below and Leave the Result in Trigonometric

Perform the operation shown below and leave the result in trigonometric form. $$\left[ 4 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] \left[ 3 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right]$$

A) $12 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)$
B) $4 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$
C) $12 \left( \cos \frac { 49 \pi } { 30 } + i \sin \frac { 49 \pi } { 30 } \right)$
D) $2 \left( \cos \frac { 49 \pi } { 30 } + i \sin \frac { 49 \pi } { 30 } \right)$
E) $12 \left( \cos \frac { 49 \pi } { 30 } - i \sin \frac { 49 \pi } { 30 } \right)$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free