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

Question 89

Multiple Choice

Solve the problem. Leave your answer in polar form.
- z=10(cos45+isin45) w=5(cos15+isin15) \begin{array} { l } z = 10 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) \\w = 5 \left( \cos 15 ^ { \circ } + i \sin 15 ^ { \circ } \right) \end{array}
Find zw\frac { z } { w } .


A) 2(cos30+isin30) 2 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)
B) 12(cos30+isin30) \frac { 1 } { 2 } \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)
C) 12(cos45+isin45) \frac { 1 } { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)
D) 2(cos45+isin45) 2 \left( \cos 45 ^ { \circ } + \mathrm { i } \sin 45 ^ { \circ } \right)

Correct Answer:

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