sin(arccos(3x))?
I did one like this in full yesterday. I wish I could find it. MMM
I'll talk you through it.
Let
theta = arccos(3x) (becasuse remember acos returns an an angle)
Draw a right angled triangle and let one of the acute angles be theta
cos(theta) = 3x/1
so the adjacent side is 3x and the hypotenuse is 1
Use the pythagorean theorum to find the opposite side. sqrt(1^2-(3x)^2)
now read sin theta of the triangle :)