SPLITPUSH TRYNDAMERE
This is the build I and most high elo tryndamere players go. the statikk shiv and botrk lets u splitpush fast escape ganks and chase kills easily. You can change the defensive item depending on the game.
BRUSER TRYNDAMERE
This build is if your team doesnt have a good tank and you are forced to go offtank.

Sell boots for zephyr after your build is done.
Alwasy buy atleast 1 ward and a few pots wehn going back to lane.

PROS
Extremely high dmg
Easy to farm with
Great lategame
Has good kill optential
Great splitpusher
Tanky withought any defensive items
Good gapcloser slow and sustain

CONS
Can be shut down my armor stacking brusers
Can be kited easly withought ghost or botrk
Item dependent (needs farm to be good)
Can have a hard time in lane against some champs
CC shuts him down if u dont hava mercs

If u start long sward 2 pots your goal is to push your lane to his tower in 3 waves. this should make u safe from ganks and let u buy vamp septer a ward and 2 pots on your first back. You can try to all in shieshy champions lvl 2 and get first blood. it wont work against champions who have a stun/gap closer or build dorans shield .After your first back you should focuse on farming and try to get tehre tower before you get statikk shiv use your mocking shout to make him miss cs under tower and when trying to trade it greatly reduses there ad and shoudl be maxed secend when goign with the bruser trynd build. with statikk shiv push the enemies lane between towers if its still up and take golems/wolves depending on your side. When you see an opertunity roam mid and take mid tower. tell your jungler to do dragon when the enemies jungler is top lane. Remember 17 cs is the same as 1 kill and a tower helps your whole eam giving 1k gold and map controle.

If your job is to kill there ad or ap carry. Tryndamere is not the best teamfighter but if they dont use there stuns and slows on you you can kill atleast 1 carry in a teamfight and zone atleast 2 peopel from hitting your ad and ap carry. If your ad carry is fed you should stay back and kill the brusers going for him.