Oz, what Funked said is true...sort of.
Trim changes with all of those things, that's totally true.
However, you generally use trim to "trim" the plane so that it will do what you want it to do "hands off". That is, trim it out for a hands off climb out, level flight, descent or maybe an extended turn. This is just so you can pay a bit less attention while you check out your chart or reach in the flight kit or write down a clearance or something. When you let of of the stick, nothing wild is going to happen...it'll just stay there.
So, you need to retrim the plane in these situations if you want it to fly "hands off".
I know of no trim tab, however, that is larger than or exerts more force than the control surface to which it is attached. Usually, they are a small fraction of the size of the trimmed control. So, for example, if you trim full nose down elevator and then are able to still pull the stick full aft, you are still going to get most of the "up force" that you would have gotten had the elevator been trimmed correctly for the maneuver. (Don't know why you'd do this tho, unless you're bodybuilding

)
I'm sure there are some aero engineers that could figure all this out for a particular plane lurking right here on this board.

We can discuss this in great detail over some cereal malt and burnt ends.
