Perform the Operation and Leave the Result in Trigonometric Form $\frac { \cos \pi + i \sin \pi } { \cos ( \pi / 9 ) + i \sin ( \pi / 9 ) }$

Multiple Choice

Perform the operation and leave the result in trigonometric form. $\frac { \cos \pi + i \sin \pi } { \cos ( \pi / 9 ) + i \sin ( \pi / 9 ) }$

A) $\cos \frac { 9 \pi } { 8 } - i \sin \frac { 9 \pi } { 8 }$
B) $\cos \frac { 9 \pi } { 8 } - \sin \frac { 9 \pi } { 8 }$
C) $\cos \frac { 8 \pi } { 9 } + i \sin \frac { 8 \pi } { 9 }$
D) $\cos \frac { 8 \pi } { 9 } - i \sin \frac { 8 \pi } { 9 }$
E) $\cos \frac { 9 \pi } { 8 } + i \sin \frac { 9 \pi } { 8 }$