Trumbo connected for a long shot into the Angels' left-field bullpen against Phil Coke (0-2) while leading off the bottom of the 13th for the Angels.
The clout made a winner of Jerome Williams (1-0), who had fired three innings of scoreless relief.
Albert Pujols drove in a pair of runs for Los Angeles, which outscored Detroit 22-4 in the series.
Prince Fielder launched a two-run homer for the Tigers, who dropped a fourth straight overall.
2014: NFL Cheerleaders [PHOTOS]
UPI Sports Results for September 19, 2014