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

Find the exact value of $\cos ( u - v )$ given that $\sin u = - \frac { 9 } { 41 }$ and $\cos v = \frac { 15 } { 17 }$ . (Both $u$ and $v$ are in Quadrant IV.)

A) $\quad \cos ( u - v ) = - \frac { 194 } { 697 }$
B) $\quad \cos ( u - v ) = - \frac { 39 } { 697 }$
C) $\quad \cos ( u - v ) = \frac { 568 } { 697 }$
D) $\quad \cos ( u - v ) = - \frac { 528 } { 697 }$
E) $\quad \cos ( u - v ) = \frac { 672 } { 697 }$

Correct Answer:

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