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Find Quotients of Complex Numbers in Polar Form
- z1=4iz2=6+6i\begin{array} { l } \mathrm { z } _ { 1 } = 4 \mathrm { i } \\\mathrm { z } _ { 2 } = - 6 + 6 \mathrm { i }\end{array}

Question 204

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- z1=4iz2=6+6i\begin{array} { l } \mathrm { z } _ { 1 } = 4 \mathrm { i } \\\mathrm { z } _ { 2 } = - 6 + 6 \mathrm { i }\end{array}


A) 23(cos7π4+isin7π4) \frac { \sqrt { 2 } } { 3 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right)
B) 23(cosπ4+isinπ4) \frac { \sqrt { 2 } } { 3 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)
C) 23(cos7π4isin7π4) \frac { \sqrt { 2 } } { 3 } \left( \cos \frac { 7 \pi } { 4 } - i \sin \frac { 7 \pi } { 4 } \right)
D) 23(cosπ4isinπ4) \frac { \sqrt { 2 } } { 3 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)

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