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

question 35

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 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) \(\quad \cos ( u - v ) = \frac { 672 } { 697 }\)

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