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:

Fisher Effect

Refers to the economic theory that real interest rates are independent of monetary measures, with any increase in expected inflation being matched by an equal increase in nominal interest rates over the long term.

Nominal Interest Rates

The interest rate before adjusting for inflation, representing the face value of interest paid or received.

Real Interest Rates

The interest rate that has been adjusted to remove the effects of inflation, reflecting the true cost of borrowing.

Velocity of Money

The rate at which money is exchanged in an economy, reflecting the number of times a unit of currency circulates within a specific time period.