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

Multiple Choice

Find the exact value of $\tan ( u + v )$ given that $\sin u = - \frac { 11 } { 61 }$ and $\cos v = \frac { 40 } { 41 }$ . (Both $u$ and $v$ are in Quadrant IV.)

A) $\tan ( u + v ) = \frac { 37 } { 767 }$
B) $\tan ( u + v ) = \frac { 2488 } { 2301 }$
C) $\quad \tan ( u + v ) = - \frac { 980 } { 2301 }$
D) $\quad \tan ( u + v ) = \frac { 797 } { 767 }$
E) $\tan ( u + v ) = - \frac { 833 } { 767 }$