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

Question 122

Multiple Choice

Solve the problem. Leave your answer in polar form.
- z=5(cos200+isin200) w=4(cos50+isin50) \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 zw\frac { z } { w } .


A) 45(cos40+isin40) \frac { 4 } { 5 } \left( \cos 40 ^ { \circ } + \mathrm { i } \sin 40 ^ { \circ } \right)
B) 45(cos150+isin150) \frac { 4 } { 5 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right)
C) 54(cos40+isin40) \frac { 5 } { 4 } \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)
D) 54(cos150+isin150) \frac { 5 } { 4 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right)

Correct Answer:

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