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

question 125

Multiple Choice

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) \(- \frac { 323 } { 325 }\)

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