find the exact value of sin(u+v) given that sin u=3/5 and sin v= 15/17

Answer 1

just drag out your good old trig identities:

sin^2 a + cos^2 a = 1

You have a 3-4-5 and a 8-15-17 triangle.
You could figure that out using the formula above.

Next:
sin(u+v) = sinu cosv + cosu sinv

sin(u+v) = 3/5 * 8/17 + 4/5 * 15/17

and I guess you can take it from there . . .