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

Find the exact value under the given conditions.
- $\sin \alpha = - \frac { 5 } { 13 } , \frac { 3 \pi } { 2 } < \alpha < 2 \pi ; \quad \tan \beta = - \frac { 7 } { 24 } , \frac { \pi } { 2 } < \beta < \pi \quad$ Find $\cos ( \alpha + \beta )$ .

A) $\frac { 204 } { 325 }$
B) $- \frac { 253 } { 325 }$
C) $\frac { 36 } { 325 }$
D) $- \frac { 323 } { 325 }$

Correct Answer:

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