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

question 117

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 5 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right) \\w = 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) \end{array}$$
Find $\frac { z } { w }$ .

• A) \(\frac { 4 } { 5 } \left( \cos 40 ^ { \circ } + \mathrm { i } \sin 40 ^ { \circ } \right)\)
• B) \(\frac { 4 } { 5 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right)\)
• C) \(\frac { 5 } { 4 } \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• D) \(\frac { 5 } { 4 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right)\)