Find the Quotient and Write in Rectangular Form $\frac { 25 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }$

question 22

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 25 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }$

• A) \(- 5 i\)
• B) \(- 5 i \sqrt { 2 }\)
• C) \(5 \sqrt { 2 } - 5 i \sqrt { 2 }\)
• D) \(5 \mathrm { i }\)

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