Find Quotients of Complex Numbers in Polar Form
- A) $\frac { 1 } { 2 } \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$

question 173

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- $$\begin{array} { l } \mathrm { z } _ { 1 } = 6 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right) \\\mathrm { z } _ { 2 } = 12 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \end{array}$$

• A) \(\frac { 1 } { 2 } \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)\)
• B) \(\left. \frac { 1 } { 2 } \cos \frac { 2 \pi } { 3 } - i \sin \frac { 2 \pi } { 3 } \right)\)
• C) \(\frac { 1 } { 2 } \left( \cos \frac { 4 \pi } { 3 } - \mathrm { i } \sin \frac { 4 \pi } { 3 } \right)\)
• D) \(\frac { 1 } { 2 } \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\)