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

question 114

Multiple Choice

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 II.)

• A) \(\quad \cos ( u + v ) = \frac { 225 } { 697 }\)
• B) \(\quad \cos ( u + v ) = - \frac { 185 } { 697 }\)
• C) \(\quad \cos ( u + v ) = \frac { 528 } { 697 }\)
• D) \(\cos ( u + v ) = - \frac { 519 } { 697 }\)
• E) \(\quad \cos ( u + v ) = \frac { 455 } { 697 }\)