Find the Quotient and Write in Rectangular Form $$\frac { 3 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 3 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

A) $\frac { 3 } { 8 } - \frac { 3 } { 8 } \mathrm { i } \sqrt { 3 }$
B) $\frac { 3 } { 4 } \sqrt { 3 } - \frac { 3 } { 8 } \mathrm { i }$
C) $\frac { 3 } { 8 } + \frac { 3 } { 8 } i \sqrt { 3 }$
D) $\frac { 3 } { 4 } \sqrt { 3 } + \frac { 3 } { 8 } \mathrm { i }$