Find the exact value under the given conditions.
-$\cos \alpha = - \frac { 5 } { 13 } , \frac { \pi } { 2 }

Question

Find the exact value under the given conditions.
-$\cos \alpha = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \sin \beta = \frac { 15 } { 17 } , \frac { \pi } { 2 } < \alpha < \pi \quad$ Find $\tan ( \alpha + \beta )$.
A) $- \frac { 171 } { 221 }$

B) $\frac { 171 } { 140 }$

C) $- \frac { 171 } { 220 }$

D) $\frac { 3 } { 20 }$

Quizplus · Accepted Answer

The Answer of Find the exact value under the given conditions.
-$\cos \alpha = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \sin \beta = \frac { 15 } { 17 } , \frac { \pi } { 2 } < \alpha < \pi \quad$ Find $\tan ( \alpha + \beta )$.
A) $- \frac { 171 } { 221 }$

B) $\frac { 171 } { 140 }$

C) $- \frac { 171 } { 220 }$

D) $\frac { 3 } { 20 }$

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