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) $\frac { 56 } { 65 }$