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Solve the Problem Find zw\frac { z } { w }

Question 29

Multiple Choice

Solve the problem. Leave your answer in polar form.
- z=8(cosπ2+isinπ2) w=3(cosπ6+isinπ6) \begin{array} { l } z = 8 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right) \\w = 3 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right) \end{array}
Find zw\frac { z } { w } .


A) 5(cosπ3+isinπ3) 5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)
B) 83(cosπ12+isinπ12) \frac { 8 } { 3 } \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)
C) 5(cosπ12+isinπ12) 5 \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)
D) 83(cosπ3+isinπ3) \frac { 8 } { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)

Correct Answer:

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