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

question 25

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) \(\tan ( u + v ) = \frac { 38 } { 75 }\)
• 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:

Marginal Cost

The extra expense associated with manufacturing an additional unit of a product or service.

Maximum Willingness

Describes the highest amount a consumer is willing to pay for a good or service, reflecting the maximum value they derive from it.

Producer Surplus

The discrepancy between the acceptable payment to producers for a good or service and the real compensation they receive.

Consumer Surplus

The variance between the sum consumers are ready and able to spend on a good or service and what they really pay.