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

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

A) $\sin ( u + v ) = \frac { 36 } { 325 }$
B) $\sin ( u + v ) = - \frac { 36 } { 325 }$
C) $\sin ( u + v ) = - \frac { 204 } { 325 }$
D) $\sin ( u + v ) = - \frac { 253 } { 325 }$
E) $\sin ( u + v ) = \frac { 204 } { 325 }$

Correct Answer:

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