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

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) $5 \mathrm { i }$

Correct Answer:

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