Head-to-head against a TAG

[usmhot]

Relative newbie. I'm playing NL, small buy-in ($5 or $10) STTs.
Been reading 2+2 for a while and its really improved my game. Got the lists of pocket cards and how to play them pf from all positions. From the forums I'm getting a good idea of how to play through the flop, turn and river.
I'm at the stage now where I can almost always get in the money - so I'm quite happy with my play against multiple players at this level. I reckon I'm quite tight/aggresive.
Last night, down to the final two players, it took us about twice as long to play out as it did to knock out the other players. The villain was also quite TAG, and I lost (finally) by going all-in pf with KTs - mostly cos I was getting frustrated.
My question is this - how do you play and win against a TAG when its head-to-head?
At this stage, when I'm down to final two its often a TAG.