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This is for a set of AI functions I am writing for an fps. The Computer needs to know at what angle an object is to itself and adjust its course to aim at the object. This is simple if the computer is at 0,0,0, but in this case, it isn't. I found some formulas in an AI programming book for 2D, those are:

x=Xcos(angle)+Ysin(angle)
y=-Xsin(angle)+Ycos(angle)

X is the computer's x coordinate and Y is its y coordinate. Angle is the computer's current heading. x and y are the coordinates of the object the computer is looking for.

I can't just use some simple x,y, and z trig because as the computer turns, offsets in the x direction now have components in other axis as well. Now onto my question, how can these two formulas be adapted for 3D? I realize that in a FPS you really are only working on 2 axis, but this particular function should hopefully be able to be used even on flight simulators.

Let me know if this makes sense.
Thanks in advance

You can make it a little simpler on yourself by using POINT OBJECT() and collecting the angles. Check out my last entry in the DarkBASIC Challenge thread. The red guy follows the blue using these steps:

1. record reds original angles
2. point red towards blue
3. record reds new angles
4. return red to it's original heading using the old angels
5. use CURVEANGLE() to smoothly interpolate the original angles to the new angles while moving forward.

The order of rotation is important so you may have to experiment a little bit and possibly use SET OBJECT ROTATION ZYX. See if this helps before diving into more meaty trig.