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Find the Trigonometric Form of the Complex Number Shown Below 33i- 3 - 3 i

Question 112

Multiple Choice

Find the trigonometric form of the complex number shown below.
33i- 3 - 3 i


A) 3(cosπ4+isinπ4) 3 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)
B) 3(cos11π6+isin11π6) \sqrt { 3 } \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)
C) 9(cos7π6+isin7π6) 9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)
D) 32(cos5π4+isin5π4) 3 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
E) 2(cosπ4+isinπ4) \sqrt { 2 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)

Correct Answer:

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