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Express the Complex Number in Polar Form 33i3 - 3 i

Question 331

Multiple Choice

Express the complex number in polar form.
- 33i3 - 3 i


A) 3(cos7π4+isin7π4) 3 \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right)
B) 3(cos5π4+isin5π4) 3 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
C) 32(cos5π4+isin5π4) 3 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
D) 32(cos7π4+isin7π4) 3 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right)

Correct Answer:

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