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

question 52

Multiple Choice

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

• A) \(- 4 \mathrm { i }\)
• B) \(4 \mathrm { i }\)
• C) \(4 \sqrt { 2 } - 4 \mathrm { i } \sqrt { 2 }\)
• D) \(- 4 \mathrm { i } \sqrt { 2 }\)

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