Fulmer held the Angels to one run on three hits, allowing only an RBI double to Yunel Escobar that cut Detroit's lead to 5-1 in the fifth. The 24-year-old right-hander struck out seven batters over seven innings, tossing a career-high 114 pitches.
Ian Kinsler, who returned to action for the Tigers after missing five games with left hamstring tightness, finished 3-for-4 with a walk, while James McCann and Miguel Cabrera also drove in one run apiece for Detroit.
Trout went 0-for-4 after sitting out the Angels' previous five games with a hamstring issue, snapping his career-high 17-game hitting streak.