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

question 367

Multiple Choice

Find the exact value under the given conditions.
- $\sin \alpha = - \frac { 5 } { 13 } , \frac { 3 \pi } { 2 } < \alpha < 2 \pi ; \quad \tan \beta = - \frac { 7 } { 24 } , \frac { \pi } { 2 } < \beta < \pi \quad$ Find $\cos ( \alpha + \beta )$ .

• A) \(\frac { 204 } { 325 }\)
• B) \(- \frac { 253 } { 325 }\)
• C) \(\frac { 36 } { 325 }\)
• D) \(- \frac { 323 } { 325 }\)

---

Definitions:

Welfare State

A government system that provides a range of social security and welfare benefits to its citizens.

Income Inequality

The unequal distribution of income within a population, leading to disparities in wealth and living standards.

Wealthy Country

A nation characterized by a high standard of living and a strong economic system, usually measured by gross domestic product (GDP) per capita.

Social Mobility

The movement of individuals, families, or groups through a system of social hierarchy or stratification, which can be either upward or downward in nature.