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

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) ​ $\cos \frac { 9 \pi } { 8 } + i \sin \frac { 9 \pi } { 8 }$

Correct Answer:

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