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

question 125

Multiple Choice

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

• A) \(- \frac { 33 } { 56 }\)
• B) \(\frac { 56 } { 65 }\)
• C) \(\frac { 2 } { 7 }\)
• D) \(- \frac { 33 } { 65 }\)