Sin(a)   Sin(b)   Sin(g)
------ = ------ = ------
  A        B        C


Where A, B, and C are the lengths of the sides of a triangle, and a, b, and g are the angles directly opposite those sides...


       /|
      /b|
   C /  |
    /   |A
   /    |
  /     |
 /a    g|
 --------
    B


sin(90) = 1

Sin(a+b) = Sin(a)*Cos(b) + Cos(a)*Sin(b)

http://www.gamedev.net/reference/articles/article796.asp

To rotate x an y cords:

NewX = (OldX*Cos(Theta)) - (OldY*Sin(Theta))
NewY = (OldY*Cos(Theta)) + (OldX*Sin(Theta))


Rotate x y and z

NewY = (OldY*Cos(ThetaX)) - (OldZ*Sin(ThetaX))  ** X axis rotation **
NewZ = (OldZ*Cos(ThetaX)) + (OldY*Sin(ThetaX))

(Copy NewY and NewZ into OldY and OldZ)

NewZ = (OldZ*Cos(ThetaY)) - (OldX*Sin(ThetaY))  ** Y axis rotation **
NewX = (OldX*Cos(ThetaY)) + (OldZ*Sin(ThetaY))

(Copy NewZ and NewX into OldZ and OldX)

NewX = (OldX*Cos(ThetaZ)) - (OldY*Sin(ThetaZ))  ** Z axis rotation **
NewY = (OldY*Cos(ThetaZ)) + (OldX*Sin(ThetaZ))

Keep in mind that angles are in radians!