Find the Exact Value of the Indicated Trigonometric Function Of \theta

Find the exact value of the indicated trigonometric function of $\theta$
- $\cot \theta = - \frac { 9 } { 8 } , \quad \cos \theta < 0 \quad$ Find $\csc \theta$

A) $\frac { 9 \sqrt { 181 } } { 181 }$
B) $\frac { \sqrt { 145 } } { 8 }$
C) $- \frac { \sqrt { 181 } } { 9 }$
D) $- \frac { 9 \sqrt { 145 } } { 145 }$

Correct Answer:

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