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

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) $- 4 \mathrm { i } \sqrt { 2 }$