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Find the Quotient and Write in Rectangular Form 20(cos⁡45∘+isin⁡45∘)5(cos⁡135∘+isin⁡135∘)\frac { 20 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }

Question 52

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- 20(cos⁡45∘+isin⁡45∘) 5(cos⁡135∘+isin⁡135∘) \frac { 20 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }


A) −4i- 4 \mathrm { i }
B) 4i4 \mathrm { i }
C) 42−4i24 \sqrt { 2 } - 4 \mathrm { i } \sqrt { 2 }
D) −4i2- 4 \mathrm { i } \sqrt { 2 }

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