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Let z1=8(cos11π6+isin11π6)z _ { 1 } = 8 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)

Question 21

Multiple Choice

Let z1=8(cos11π6+isin11π6) z _ { 1 } = 8 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right) and z2=23(cosπ3+isinπ3) z _ { 2 } = 2 \sqrt { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right) ) Find z1/z2z _ { 1 } / z _ { 2 }


A) 34i3 - 4 i
B) 43i4 - \sqrt { 3 } i
C) 4+3i4 + \sqrt { 3 } i
D) 43\frac { 4 } { 3 }
E) 433i- \frac { 4 \sqrt { 3 } } { 3 } i

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