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Convert from Rectangular to Trigonometric Form θ\theta Such That 0θ<2π0 \leq \theta < 2 \pi

Question 11

Multiple Choice

Convert from rectangular to trigonometric form. (Choose an argument θ\theta such that 0θ<2π0 \leq \theta < 2 \pi .) 12+123i- \frac { 1 } { 2 } + \frac { 1 } { 2 } \sqrt { 3 } i


A) 12(cos2π3+isin2π3) \frac { 1 } { 2 } \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
B) 12(sin2π3+icos2π3) \frac { 1 } { 2 } \left( \sin \frac { 2 \pi } { 3 } + i \cos \frac { 2 \pi } { 3 } \right)
C) (cos2π3isin2π3) \left( \cos \frac { 2 \pi } { 3 } - i \sin \frac { 2 \pi } { 3 } \right)
D) (sin2π3icos2π3) \left( \sin \frac { 2 \pi } { 3 } - i \cos \frac { 2 \pi } { 3 } \right)
E) (cos2π3+isin2π3) \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)

Correct Answer:

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