Find the Exact Value Under the Given Conditions Find $\tan ( \alpha - \beta ) .$

question 268

Multiple Choice

Find the exact value under the given conditions.
- $\cos \alpha = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \sin \beta = \frac { 8 } { 17 } , \frac { \pi } { 2 } < \alpha < \pi \quad$ Find $\tan ( \alpha - \beta ) .$

• A) \(\frac { 50 } { 19 }\)
• B) \(\frac { 20 } { 3 }\)
• C) \(- \frac { 20 } { 3 }\)
• D) \(- \frac { 140 } { 171 }\)

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