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Multiply the Complex Numbers Below and Leave the Result in Trigonometric

Question 263

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form. [8(cos2π7+isin2π7) ][10(cos5π9+isin5π9) ]\left[ 8 \left( \cos \frac { 2 \pi } { 7 } + i \sin \frac { 2 \pi } { 7 } \right) \right] \left[ 10 \left( \cos \frac { 5 \pi } { 9 } + i \sin \frac { 5 \pi } { 9 } \right) \right]


A) 18(cos5363π+isin5363π) 18 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)
B) 80(cos2363π+isin2363π) 80 \left( \cos \frac { 23 } { 63 } \pi + i \sin \frac { 23 } { 63 } \pi \right)
C) 80(cos5363π+isin5363π) 80 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)
D) 18(cos19π+isin19π) 18 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)
E) 80(cos19π+isin19π) 80 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)

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