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

question 208

Multiple Choice

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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Definitions:

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In a state of inactivity or dormancy, not currently active but with the potential to become active.

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A type of fungus with a stem, cap, and gills or pores underneath the cap, varying greatly in color and size, some of which are edible while others can be poisonous.

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A type of fungus used in baking and brewing due to its fermentation properties, also known to cause infections in humans.