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

Question 3

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Find the exact value of cos⁡(u+v) \cos ( u + v ) given that sin⁡u=513\sin u = \frac { 5 } { 13 } and cos⁡v=−45\cos v = - \frac { 4 } { 5 } . (Both uu and vv are in Quadrant II.)


A) cos⁡(u+v) =2865\cos ( u + v ) = \frac { 28 } { 65 }
B) cos⁡(u+v) =−1665\cos ( u + v ) = - \frac { 16 } { 65 }
C) cos⁡(u+v) =3365\cos ( u + v ) = \frac { 33 } { 65 }
D) cos⁡(u+v) =−2865\cos ( u + v ) = - \frac { 28 } { 65 }
E) cos⁡(u+v) =5665\cos ( u + v ) = \frac { 56 } { 65 }

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