Tryndamere, as I know, is League of Legends' third best player but for me is the best, the #1. He is "The barbarian king". He belongs to carry and melee categories. In this build we will work its carry property which means fast hits and a lot of damage.

In order to collect alot gold for those itmes, you need farming, all those items cost about 13k.
The more attack speed you have the more minios you kill the more gold you collect. You can also kill forest monsters, the best monster(for gold) is the baron(300 gold) bad its kinda hard to take it down the second is the dragon(190 gold).

In early game you can buy a health consumable, personally I don't use consumables but it might either work.The first item would be Berserker's Greaves that help you catch up your target enemy and take him down, the two Swords of Divine will increase a lot your attack speed so you will be able to kill the enemy champion before he run to his turret or heal. The two Phantom Dancers will increase Both attack speed and critical strike chance (which is better than attack damage in this particular champion). And at the end the Infinity Edge will make your critical chance equal to 85% plus the chance that fury gives you will have 100% critical hit, Infinity Edge also increases your critcal damage.

The best buff for Tryndamere is the purple (of the baron) but as in money its the hardest monster so the second one is the red (of the small lizard). You can kill the small lizard at about 10 level when you will have bought the first Phantom Dancer. Form then and on you can kill it whenever it respwans. At 16-17 level sign your team to fight the baron.

If you playing against ranged players you should buy an Atma's Impaler and not an Infinity Edge,
or a Trinity Force.