Find the Exact Value Under the Given Conditions Find $\sin ( \alpha + \beta ) .$

Multiple Choice

Find the exact value under the given conditions.
- $\tan \alpha = \frac { 5 } { 12 } , \pi < \alpha < \frac { 3 \pi } { 2 } ; \quad \cos \beta = - \frac { 4 } { 5 } , \frac { \pi } { 2 } < \beta < \pi \quad$ Find $\sin ( \alpha + \beta ) .$

A) $\frac { 63 } { 65 }$
B) $\frac { 33 } { 65 }$
C) $- \frac { 16 } { 65 }$
D) $\frac { 56 } { 65 }$