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Find Quotients of Complex Numbers in Polar Form
- A) 22(cos3π2+isin3π2)\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)

Question 77

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- z1=3(cos7π4+isin7π4) z2=6(cos9π4+isin9π4}\left. \begin{array} { l } \mathrm { z } _ { 1 } = \sqrt { 3 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \\\mathrm { z } _ { 2 } = \sqrt { 6 } \left( \cos \frac { 9 \pi } { 4 } + i \sin \frac { 9 \pi } { 4 } \right.\end{array} \right\}


A) 22(cos3π2+isin3π2) \frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)
B) 22(cos3π2isin3π2) \frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } - \mathrm { i } \sin \frac { 3 \pi } { 2 } \right)
C) 22(sin3π2+icos3π2) \frac { \sqrt { 2 } } { 2 } \left( \sin \frac { 3 \pi } { 2 } + i \cos \frac { 3 \pi } { 2 } \right)
D) 22(cosπ2+isinπ2) \frac { \sqrt { 2 } } { 2 } \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)

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