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

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

A) $\quad \cos ( u + v ) = \frac { 160 } { 2501 }$
B) $\cos ( u + v ) = - \frac { 100 } { 2501 }$
C) $\quad \cos ( u + v ) = \frac { 2301 } { 2501 }$
D) $\cos ( u + v ) = - \frac { 2290 } { 2501 }$
E) $\quad \cos ( u + v ) = \frac { 980 } { 2501 }$

Correct Answer:

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