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Find the Product or Quotient, as Indicated z1\mathrm { z } _ { 1 }

Question 56

Multiple Choice

Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the product of z1\mathrm { z } _ { 1 } and z2\mathrm { z } _ { 2 } .
z1=7(cos5π4+isin5π4) ,z2=5(cos2π3+isin2π3) z _ { 1 } = 7 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right) , z _ { 2 } = 5 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)


A) 35(cos56π+isin56π) 35 \left( \cos \frac { 5 } { 6 } \pi + i \sin \frac { 5 } { 6 } \pi \right)
B) 12(cos2312π+isin2312π) 12 \left( \cos \frac { 23 } { 12 } \pi + i \sin \frac { 23 } { 12 } \pi \right)
C) 12(cos56π+isin56π) 12 \left( \cos \frac { 5 } { 6 } \pi + i \sin \frac { 5 } { 6 } \pi \right)
D) 35(cos2312π+isin2312π) 35 \left( \cos \frac { 23 } { 12 } \pi + i \sin \frac { 23 } { 12 } \pi \right)

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