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

question 112

Multiple Choice

Find the exact value of $\tan ( u + v )$ given that $\sin u = - \frac { 7 } { 25 }$ and $\cos v = \frac { 12 } { 13 }$ . (Both $u$ and $v$ are in Quadrant IV.)

• A) \(\tan ( u + v ) = \frac { 43 } { 253 }\)
• B) \(\tan ( u + v ) = \frac { 316 } { 253 }\)
• C) \(\quad \tan ( u + v ) = - \frac { 204 } { 253 }\)
• D) \(\tan ( u + v ) = \frac { 283 } { 253 }\)
• E) \(\tan ( u + v ) = - \frac { 323 } { 253 }\)

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Definitions:

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