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

question 232

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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Disruptive Group Member

An individual within a group who causes disturbances or hinders the group's progress towards goals, often through negative behavior or attitudes.

Shirker

A person who avoids or neglects their duties or responsibilities.

Autocratic Leadership

A leadership style characterized by individual control over all decisions with minimal input from group members.