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

Question 138

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=8(cos4π7+isin4π7) ,z2=15(cosπ3+isinπ3) z _ { 1 } = 8 \left( \cos \frac { 4 \pi } { 7 } + i \sin \frac { 4 \pi } { 7 } \right) , z _ { 2 } = \frac { 1 } { 5 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)


A) 40(cos1921π+isin1921π) 40 \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)
B) 415(cos421π+isin421π) \frac { 41 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)
C) 85(cos421π+isin421π) \frac { 8 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)
D) 85(cos1921π+isin1921π) \frac { 8 } { 5 } \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)

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