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Divide the Complex Numbers Below and Leave the Result in Trigonometric

Question 228

Multiple Choice

Divide the complex numbers below and leave the result in trigonometric form. 4(cos(7π/10) +isin(7π/10) ) 10(cos(3π/7) +isin(3π/7) ) \frac { 4 ( \cos ( 7 \pi / 10 ) + i \sin ( 7 \pi / 10 ) ) } { 10 ( \cos ( 3 \pi / 7 ) + i \sin ( 3 \pi / 7 ) ) }


A) cos7970π+isin7970π\cos \frac { 79 } { 70 } \pi + i \sin \frac { 79 } { 70 } \pi
B) cos1970π+isin1970π\cos \frac { 19 } { 70 } \pi + i \sin \frac { 19 } { 70 } \pi
C) 25(cos7970π+isin7970π) \frac { 2 } { 5 } \left( \cos \frac { 79 } { 70 } \pi + i \sin \frac { 79 } { 70 } \pi \right)
D) 25(cos235π+isin235π) \frac { 2 } { 5 } \left( \cos \frac { 2 } { 35 } \pi + i \sin \frac { 2 } { 35 } \pi \right)
E) 25(cos1970π+isin1970π) \frac { 2 } { 5 } \left( \cos \frac { 19 } { 70 } \pi + i \sin \frac { 19 } { 70 } \pi \right)

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