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Find the Trigonometric Form of the Complex Number Shown Below 3\sqrt { 3 }

Question 197

Multiple Choice

Find the trigonometric form of the complex number shown below. -4 + 4 3\sqrt { 3 } i


A) 4 (cosπ3+isinπ3) \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)
B) 2 (cos4π3+isin4π3) \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)
C) 8 (cos2π6+isin2π6) \left( \cos \frac { 2 \pi } { 6 } + i \sin \frac { 2 \pi } { 6 } \right)
D) 4 (cos2π3+isin2π3) \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
E) 8 (cos2π3+isin2π3) \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)

Correct Answer:

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