Yuri Ribiero put the Tigers on the board just :33 into the match with a goal on a penalty kick.
Victor Araujo scored unassisted at the eight minute mark and Claudio Calistri scored just :26 before halftime to make it 3-0.
Denny Mask added the final goal in the 77th minute.
The Cowboys were outshot 2011 in the game, including 6-3 on goal, but did have a 7-4 advantage on corner kicks in a wide open game. Sam Potter had a pair of saves for the Cowboys.
HSU is now 2-2 on the year and Trinity improved to 5-0.