As Spatula said, you need to bleed the Typhoon out of energy. Get him slow and he's lunch unless he has room to dive away (which Typhoons WILL do, and readily). IMO a halfway-decently flown Typhoon that's above you is among the most dangerous ships in the game. DON'T engage if he has altitude on you if you can at all avoid it. If you can't, (and trust me, it's VERY hard to deny an engagement against a Typhoon with altitude) do whatever you can to neutralize his advantage at LEAST (a LOT of Typhoon drivers will run like hell if they no longer have a position of advantage). The Hellcat is slower by a noticeable margin so you won't be able to run out.
Also, watch for HOs. Typhoons LOVE to HO and most will do it at every opportunity (and this includes vets who insist that it's a skilless dweeb trick and they NEVER take the HO shot. BS). Those guns will tear you apart. While I mostly exclusively fly F4Us, many of the same options in the Hog work in the F6F as well (The Corsair, especially the 1A and 4, has a few others open as well, including a limited capability to either run out, or run DOWN, a Typhoon at most altitudes). I like to pull above him into a shallow zoom around 800 out. He'll have a snapshot at best from a poor deflection angle, so MOST times that's enough (you'll get hit every now and then, but it's successful more often than not). Alternately I'll snaproll. The change in airspeed and the tight corkscrew motion makes you a somewhat harder to hit. However it's also a vulnerable position as a snaproll is literally an intentional spin in level flight. You have to recover FAST before he can reverse.
Yaks IMO are generally pretty easy. In the right hands they can be tough, but they're nowhere near as overpowering as a Typhoon. Both models are faster up to around 15k, after which the F6F will start to open on the 9T (the 9U is faster at all altitudes). Roughly the same is the case with rate of climb. The F6F will out-accelerate the 9T, but the 9U will catch the Fatcat in the drag race. IIRC the 9T has a tater, so DON'T HO. That big gun will mess you up. The F6F has a slight advantage in lethality over the 9U, and a HUGE advantage in ammo load. (a full thirty seconds of fire from each gun. The Yaks don't even have half that). A Yak has to snipe, while the F6F can afford to take more low-probability shots (especially the spud gun on the 9T. Use that to your advantage, he has a big gun, but very little ammunition, so will likely use his lighter guns to line you up).
The F6F will turn better with flaps, so again, getting your flaps out will make a HUGE difference. Yaks can be pretty tough so be prepared to have to put a good tracking shot in to do enough damage to bring one down, however take every shot you can get. Remember, in the F6F you can afford to spend more ammo on shots with less chance of hitting than the Yak. Even short bursts in convergence can break something critical, so take whatever shot you can get (half-second bursts if you're not sure of a hit, and be ready to hose him good if you've got a clean shot).
With wing guns I set my convergence close, to 200yds. Both the Typhoon and Yaks can take a beating, so it helps with the .50cal to set you guns in closer where you have more hitting power. Also, set them to converge at a point. You want all you rounds hitting at one place to maximize damage. Never think you're at a disadvantage with the US .50cal when up against cannon. Too many people don't give the Ma Duece the respect it deserves. It's a very hard-hitting gun, especially close range and if you're within convergence. The rate of fire is excellent, and it's about as close to a point-and-click weapon as the game has. Just don't expect to fly away from a HO against anything with a cannon.