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Find Products of Complex Numbers in Polar Form
- z1=2+2iz2=3i\begin{array} { l } \mathrm { z } 1 = 2 + 2 \mathrm { i } \\\mathrm { z } 2 = \sqrt { 3 } - \mathrm { i }\end{array}

Question 262

Multiple Choice

Find Products of Complex Numbers in Polar Form
- z1=2+2iz2=3i\begin{array} { l } \mathrm { z } 1 = 2 + 2 \mathrm { i } \\\mathrm { z } 2 = \sqrt { 3 } - \mathrm { i }\end{array}


A) 42(cosπ12+isinπ12) 4 \sqrt { 2 } \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)
B) 42(cos23π12+isin23π12) 4 \sqrt { 2 } \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)
C) 4(cosπ12+isinπ12) 4 \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)
D) 4(cos23π12+isin23π12) 4 \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)

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