Find the Quotient and Write in Rectangular Form $\frac { - 6 i } { - 9 + 4 i }$

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { - 6 i } { - 9 + 4 i }$

A) $- \frac { 24 } { 97 } + \frac { 54 } { 97 } \mathrm { i }$
B) $\frac { 24 } { 65 } + \frac { 54 } { 65 } \mathrm { i }$
C) $- \frac { 24 } { 65 } + \frac { 54 } { 65 } \mathrm { i }$
D) $\frac { 24 } { 97 } + \frac { 54 } { 97 } \mathrm { i }$

Correct Answer:

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