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Find the Quotient and Write in Rectangular Form A) −52−52- \frac { 5 } { 2 } - \frac { 5 } { 2 }

Question 101

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- 25(cos⁡240∘+isin⁡240∘) 5(cos⁡30∘+isin⁡30∘) \frac { 25 \left( \cos 240 ^ { \circ } + \mathrm { i } \sin 240 ^ { \circ } \right) } { 5 \left( \cos 30 ^ { \circ } + \mathrm { i } \sin 30 ^ { \circ } \right) }


A) −52−52- \frac { 5 } { 2 } - \frac { 5 } { 2 } i
B) −523−52i- \frac { 5 } { 2 } \sqrt { 3 } - \frac { 5 } { 2 } i
C) −523−52i3- \frac { 5 } { 2 } \sqrt { 3 } - \frac { 5 } { 2 } \mathrm { i } \sqrt { 3 }
D) −52+−52i3- \frac { 5 } { 2 } + - \frac { 5 } { 2 } i \sqrt { 3 }

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