Find the exact value of the trigonometric function given tha
Find the exact value of the trigonometric function given that sin u = 3/5 and cos v = 5/13 . (Both u and v are in Quadrant II.) csc(u v)
Solution
sin u = 3/5 and cos v = 5/13 . (Both u and v are in Quadrant II.)
cosu = - 4/5 ; sinv = 12/13
csc(u v) = 1/sin(u -v)
sin( u -v) = sinucosv- sinv cosu
=(3/5)(-5/13) - (12/13)(-4/5)
= ( -15 +48)/65
= 33/65
csc( u -v) = 65/33
