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Find Quotients of Complex Numbers in Polar Form
- A) 72(cos5π12+isin5π12)\frac { 7 } { 2 } \left( \cos \frac { 5 \pi } { 12 } + i \sin \frac { 5 \pi } { 12 } \right)

Question 190

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- z1=12(cos2π3+isin2π3) z2=17(cosπ4+isinπ4) \begin{array} { l } z 1 = \frac { 1 } { 2 } \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right) \\z 2 = \frac { 1 } { 7 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) \end{array}


A) 72(cos5π12+isin5π12) \frac { 7 } { 2 } \left( \cos \frac { 5 \pi } { 12 } + i \sin \frac { 5 \pi } { 12 } \right)
B) 114(cos11π12+isin11π12) \frac { 1 } { 14 } \left( \cos \frac { 11 \pi } { 12 } + i \sin \frac { 11 \pi } { 12 } \right)
C) 72(cos83+isin83) \frac { 7 } { 2 } \left( \cos \frac { 8 } { 3 } + i \sin \frac { 8 } { 3 } \right)
D) 27(cos5π12+isin5π12) \frac { 2 } { 7 } \left( \cos - \frac { 5 \pi } { 12 } + i \sin - \frac { 5 \pi } { 12 } \right)

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