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Find Quotients of Complex Numbers in Polar Form
- A) 83(cosπ3+isinπ3)\frac { 8 } { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)

Question 163

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- z1=8{cosπ2+isinπ2z2=3}cosπ6+isinπ6}\begin{array} { l } \left. z _ { 1 } = 8 \left\{ \begin{array} { l } \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \\z _ { 2 } = 3\end{array} \right\} \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right\}\end{array}


A) 83(cosπ3+isinπ3) \frac { 8 } { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)
B) 83(cos2π3+isin2π3) \frac { 8 } { 3 } \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
C) 83(cosπ3isinπ3) \frac { 8 } { 3 } \left( \cos \frac { \pi } { 3 } - i \sin \frac { \pi } { 3 } \right)
D) 83(sinπ3+icosπ3) \frac { 8 } { 3 } \left( \sin \frac { \pi } { 3 } + i \cos \frac { \pi } { 3 } \right)

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