Tryndamere is more of a split pusher, but there are times to group as well. Typically though, if you're strong enough to 1v1 and can draw 2 people to your lane, this leaves your team open to be able to 4 vs 3 the enemies. Of course, you have to keep pressure on their towers and not die. Timing is also important. You want to have hard pressure on the opposite side of the map from where you want your team to take an objective.
Example: Dragon comes up in 1 minute, your team prepares dragon (scans/wards/pinks) while you push the opposite side of the map (top).
If you can't even 1v1 your opponent, you have pretty little pressure and are essentially useless.
I also want to point out that I've played Tryndamere in low elo and I've gotta tell you, most of the time, your team isn't going to take full advantage of your split pushing or they will just fight 4v5 before you can draw pressure. Feelsbadman. Teamfighting champions are easier to get out of low elo with imo (something brainless like Malphite).