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

Question 2

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Find the exact value of cos(u+v) \cos ( u + v ) given that sinu=1161\sin u = \frac { 11 } { 61 } and cosv=4041\cos v = - \frac { 40 } { 41 } . (Both uu and vv are in Quadrant II.)


A) cos(u+v) =1602501\cos ( u + v ) = \frac { 160 } { 2501 }
B) cos(u+v) =1002501\cos ( u + v ) = - \frac { 100 } { 2501 }
C) cos(u+v) =23012501\quad \cos ( u + v ) = \frac { 2301 } { 2501 }
D) cos(u+v) =22902501\cos ( u + v ) = - \frac { 2290 } { 2501 }
E) cos(u+v) =9802501\cos ( u + v ) = \frac { 980 } { 2501 }

Correct Answer:

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