Trigonometry Question (need answer fast)
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Trigonometry Question (need answer fast)

[From: ] [author: ] [Date: 11-06-06] [Hit: ]
(Both u and v are in Quadrant II.Thanks!cos(u+v)=cosucosv-sinusinv=(-12/13)(-3/5) - (5/13)(4/5) =16/65-cos(u + v) = cos u. cos v - sin u.hence put the values in the abv eqn u l get........
I'm studying for a big test. First answer that makes perfect sense will get the 10 points.

Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in Quadrant II.)

cos(u+v)

Thanks!

-
sin u=5/13 dat means cosu= - [sqrt{1-(cosu)^2}]= -12/13
cosv= -3/5 so sin u=sqrt[1-(cosv)^2} = 4/5

cos(u+v)=cosucosv-sinusinv
=(-12/13)(-3/5) - (5/13)(4/5)
=16/65

-
cos(u + v) = cos u. cos v - sin u. sin v

cos u = - 12/13
sin v = 4/5

hence put the values in the abv eqn u l get.. 16/65

-
cos u=-12/13
sin v=4/5
cos(u+v)=19/65
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