Getting Exhaust can help deceive your enemies into thinking that you are an easy kill. With low health and max fury, you can easily bait enemy champions into a fight, you can Exhaust them and use Bloodlust to turn the tides of battle.
Bloodlust can be deceptively powerful early game. At max fury, using Spinning SlashSpinning Slash to enter combat can be a great way to get an early kill without your opponent knowing what hit them.
Try to delay the activation of Undying RageUndying Rage as much as possible, as you can still lose health while it is activated. Delaying it is also a very effective way to cause an enemy champion to overcommit while trying to kill you. It is, however, always better to activate it a moment too early than a moment too late - while both can, in the end, cause you to die, the former lowers the chance that you will get hit by a few large bursts of damage and be dead before you can even react.
Before playing Tryndamere, players should take into account that he is one of the few manaless champions and instead uses fury as his resource. This will affect rune, mastery, and item choice.
Another option to remove Exhaust, or any type of crowd control, is buying Quicksilver Sash. It has lower cooldown than Cleanse, but does not give you any lingering resistance after use like Cleanse. If you use it to remove a slow/stun/etc, you can immediately be stunned, slowed, suppressed, etc. again.
It is important to note that Mocking ShoutMocking Shout does not need to be used to notice enemy champions hidden in fog of war . The ability will change from grey to active reguardless of whether or not you can see your enemies. This can be very effective when walking through an enemy jungle, alowing you to "see" if an enemy is on the other side of a wall killing monsters.
Executioner's Calling is also an item choice as it is relatively cheap and grants Tryndamere lifesteal and critical rate boost as well as an active skill that can counter health regeneration champions.
Bilgewater Cutlass is similar from this point of view, giving lifesteal and active as well. Against a team with no summoner heals, it is a great item for a jungler Tryndamere. It can be either upgraded or sold later.
In this case, his build should include Nashor's Tooth as first major item. In early game, he still relies on autoattacks and he needs to heal and dash often. It also solves his needs of cooldown reduction almost completely, with 8,1% from masteries, he is already at 33%.
During laning, Tryndamere is vulnerable to ranged harassment. If you can manage to keep him from last hitting, you can deny him his heal along with gold. Just be careful; some Tryndamere players have full Rune pages for crit chance and crit damage, which makes him deceptively strong at low health. Also, be wary, as he can quickly use Spinning SlashSpinning Slash to close the distance and deal damage of his own.
Although Malzahar's and Warwick's ultimates do not kill Tryndamere or prevent him from activating Undying RageUndying Rage, suppressing him during his ultimate effectively wastes its duration, and with proper timing you may be able to kill him after his Undying RageUndying Rage runs out as the suppression does not allow him to escape or heal, while their ultimates will still be doing damage. Both playing and countering Tryndamere is all about timing.
If you are a tank, are being focussed by or have a lot more health than Tryndamere, Thornmail can be used quite effectively against him. By having 30% of his damage returned to him he will quite literally be killing himself if he cannot kill you quickly and will most likely be forced to use Undying RageUndying Rage earlier than he would like to. Getting a Randuin's Omen or Frozen Heart will however be more useful for your team, as they can decrease Tryndamere dps through the attack speed slow.
Hemoplague is an excellent skill to finish off Tryndamere due to the 5 second delay. However, it is not recommended to waste Hemoplague on Tryndamere if he is alone. Using it during a team battle after he uses Undying RageUndying Rage will almost ensure a kill.
As a carry, Exhaust is extremely effective for countering him, since his damage comes almost exclusively from autoattacks.
Tryndamere excels at 1v1 fights. Ensure you are in a good position to give yourself an edge before commiting to the fight. Be careful wheven when at your turret as it may not kill Tryndamere while his Undying RageUndying Rage is in effect.
Tryndamere is centered around intimidating opposing players to overcommit to highly disadvantegous situations and make bad choices. In particular, Tryndamere excels at chasing fleeing enemies. Experienced Tryndamere players know this and usually attempt to use his abilities to intimidate an opponent into fleeing; which almost guarantees him an easy kill.