Find the Quotient and Write in Rectangular Form $\frac { 3 i } { - 1 - i \sqrt { 3 } }$

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 3 i } { - 1 - i \sqrt { 3 } }$

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