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Find the Quotient and Write in Rectangular Form 3(cos120+isin120)4(cos60+isin60)\frac { 3 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }

Question 243

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- 3(cos120+isin120) 4(cos60+isin60) \frac { 3 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }


A) 3838i3\frac { 3 } { 8 } - \frac { 3 } { 8 } \mathrm { i } \sqrt { 3 }
B) 34338i\frac { 3 } { 4 } \sqrt { 3 } - \frac { 3 } { 8 } \mathrm { i }
C) 38+38i3\frac { 3 } { 8 } + \frac { 3 } { 8 } i \sqrt { 3 }
D) 343+38i\frac { 3 } { 4 } \sqrt { 3 } + \frac { 3 } { 8 } \mathrm { i }

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