Find the values of sin 0, cos 0, and tan 0ƒáif the angle 0ƒáis in standard position and its terminal side passes through the point (¡V15, 8). Give answers as fractions.

Trying to get past the copy/paste of strange fonts, I interpret the question as finding the trig functions of the angle whose terminal side is (√15,8)

You have x=√15 and y=8, so r = √(15+64) = √79

Now just use the definitions

sinθ = y/r
cosθ = x/r
tanθ = y/x