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

question 29

Multiple Choice

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

• A) \(5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)\)
• B) \(\frac { 8 } { 3 } \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)\)
• C) \(5 \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)\)
• D) \(\frac { 8 } { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)\)

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