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

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) $\tan ( u + v ) = - \frac { 323 } { 253 }$

Correct Answer:

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