Find the Quotient and Write in Rectangular Form A) $\frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 2 } } { 2 } \mathrm { i }$

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { \sqrt { 3 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) } { \sqrt { 6 } \left( \cos \frac { 9 \pi } { 4 } + i \sin \frac { 9 \pi } { 4 } \right) }$

A) $\frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 2 } } { 2 } \mathrm { i }$
B) $- \frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 2 } } { 2 } i$
C) $- \frac { \sqrt { 2 } } { 2 } \mathrm { i }$
D) $\frac { \sqrt { 2 } } { 2 }$