Find the exact value of the trigonometric expression given t

Find the exact value of the trigonometric expression given that

sin u = 8/17 and cos v = 7/25

(Both u and v are in Quadrant II.).

tan(u + v)

Find the exact value of the trigonometric function given that

sin u = 20/29 and cos v = 9/41 (Both u and v are in Quadrant III.).

sin(u + v)

sin u = 8/17 and cos v = 7/25

(Both u and v are in Quadrant II.).

tanu = -8/15 ; tanv = -24/7

tan(u + v) = ( tanu + tanv)/( 1 - tanutanv)

= ( -8/15 -24/7)/( 1- 8*24/15*7)

= -416/( -87)

= 416/87

sin u = 20/29 and cos v = 9/41 (Both u and v are in Quadrant III.).

cosu = -21/29 ; sinv = -40/41

sin(u + v) = sinucosv + cosusinv

= (-20/29)(-9/41) + ( -21/29)(-40/41)

= 1020/1189