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) \(\frac { 3 } { 20 }\)

---

Definitions:

Temperamental Individuality

Variations among individuals in their emotional responses, levels of activity, and attentional capacity from birth, often considered as the foundational aspects of personality.

Age

The length of time that a person or thing has existed, typically measured in years.

Research

The systematic investigation into and study of materials and sources to establish facts and reach new conclusions.

Shy

A temperament or personality trait characterized by feelings of nervousness or discomfort in social situations.