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

question 125

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) \(- \frac { 323 } { 325 }\)

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Definitions:

Net Capital Outflow

The difference between a nation's total investment in foreign assets and the total foreign investment in its domestic assets over a certain period.

Exchange Rate

The worth of one currency when converted into another, indicating the amount of one currency that can be swapped for another.

Net Capital Outflow

The difference between the purchase of foreign assets by domestic residents and the purchase of domestic assets by foreigners in a given period.

Foreign-Currency Exchange

The process of converting one currency into another currency, facilitating international trade and investment.