Find the Exact Value Of $\tan ( u + v )$

question 87

Multiple Choice

Find the exact value of $\tan ( u + v )$ given that $\sin u = - \frac { 3 } { 5 }$ and $\cos v = \frac { 24 } { 25 }$ . (Both $u$ and $v$ are in Quadrant IV.)

• A) \(\tan ( u + v ) = \frac { 41 } { 75 }\)
• B) \(\quad \tan ( u + v ) = \frac { 38 } { 75 }\)
• C) \(\tan ( u + v ) = - \frac { 4 } { 3 }\)
• D) \(\tan ( u + v ) = \frac { 89 } { 75 }\)
• E) \(\tan ( u + v ) = - \frac { 39 } { 25 }\)

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Definitions:

Long-Run Growth Rate

The sustainable rate at which a company or an economy can grow its output over a long period without increasing inflation.

Required Rate of Return

The minimum return an investor expects to achieve for the risk associated with a particular investment.

Expected Dividend

The dividend payout anticipated by shareholders based on the issuing company’s past distributions and future earnings projections.

Expected Capital Gains Yield

The anticipated return from an increase in the price of an investment, not including dividends or interest.