The DAK trigger is very nice, but very different.
In normal carry mode, the hammer is partially cocked, which is shown in the pictures above. Trigger pull is long, but smooth and around 7lbs (on the P226/P229 it's about 6.5lbs, they find more leverage in those guns).
Once fired, about half-way through the trigger return, it'll reset. THAT reset will be around 1-1.5lbs heavier if you use it (around 8.5lbs on my pistol). Or, you can let the trigger reset to the full forward position, then you're back to 7lbs.
If you try it while dry firing, you'll think, "This is terrible, I'm going to have a harder pull on my fast followup shots." In reality, though, I don't even notice that extra weight
when firing fast.
If you have a misfire, you can immediately pull the trigger again, even though the hammer isn't partially cocked - you just get the 8.5lb pull instead of the 7lb pull.
Anyway, typing it up makes it all sound much more complicated and confusing than it really is. I finally rented a DAK at the range and really liked it. I now own two; the one shown above, and this P239SAS in .40SW: