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

question 5

Multiple Choice

Find the exact value of $\cos ( u + v )$ given that $\sin u = \frac { 5 } { 13 }$ and $\cos v = - \frac { 4 } { 5 }$ . (Both $u$ and $v$ are in Quadrant II.)

• A) \(\cos ( u + v ) = \frac { 28 } { 65 }\)
• B) \(\cos ( u + v ) = - \frac { 16 } { 65 }\)
• C) \(\quad \cos ( u + v ) = \frac { 33 } { 65 }\)
• D) \(\cos ( u + v ) = - \frac { 28 } { 65 }\)
• E)
• \(\cos ( u + v ) = \frac { 56 } { 65 }\)

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