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Multiply the Complex Numbers Below and Leave the Result in Trigonometric

Question 293

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form. [7(cos6π7+isin6π7) ][2(cos4π9+isin4π9) ]\left[ 7 \left( \cos \frac { 6 \pi } { 7 } + i \sin \frac { 6 \pi } { 7 } \right) \right] \left[ 2 \left( \cos \frac { 4 \pi } { 9 } + i \sin \frac { 4 \pi } { 9 } \right) \right]


A) 9(cos82π63+isin82π63) 9 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)
B) 9(cos10π63+isin10π63) 9 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)
C) 14(cos10π63+isin10π63) 14 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)
D) 14(cos82π63+isin82π63) 14 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)
E) 14(cos58π63+isin58π63) 14 \left( \cos \frac { 58 \pi } { 63 } + i \sin \frac { 58 \pi } { 63 } \right)

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