I think there are 2 ways you could do it. Either by using trigonometric functions which might be better but a bit cleaner. Or you could use the rotate and move local commands in agk.
I would do something like this
//Put the camera in the same place as the object and set the rotation
setCameraPosition(cameraID, getObjectX(objID), getObjectY(objID), getObjectZ(objID))
setCameraRotation(cameraID, getObjectRotationX(objID), getObjectRotationY(objID), getObjectRotationZ(objID)) //You might need to change angle to rotation or the other way around
//Now you can use the move local commands to move the camera around the object
//Let's say you want to move the camera to the left of the object
rotateCameraLocalY(cameraID, 90) //Turn the camera 90 degrees to the left
moveCameraLocalX(cameraID, -10) //Might be Z instead of X. Moves the camera back by how much you want to offset it
rotateCameraLocalY(cameraID, -90) //Rotate it back to the original angle if you want to
You can do this for any angles you want and any offset you want
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