Find the exact value of the trigonometric expression given t
Find the exact value of the trigonometric expression given that sin u = 3/5 and cos v = 24/25 . (Both u and v are in Quadrant III.) cos(u + v)
Solution
sin u = - 3/5
cos u = -4/5
cos v = -24/25
sin v = - 7/25
cos ( u+v) = cos u cos v - sin u sin v
plugging the values
cos ( u+v) = (-4/5)(-24/25) - (-3/5)(-7/25) = 96/125 - 21/125 = 75/125 = 3/5
cos (u+v) = 3/5

