The hosts had Josh Passley dismissed for bringing down Garry Thompson before Wycombe went ahead when Paul Hayes fired home Paris Cowan-Hall's ball.
Thompson later saw red for a challenge on Joss Labadie and the Daggers drew level through Luke Guttridge's tap in.
Wycombe won it when Cowan-Hall headed over keeper Mark Cousins from close in.
Dagenham remain in the relegation places, while Wycombe move up to sixth spot, above Leyton Orient on goal difference.
Dagenham & Redbridge manager John Still told BBC Radio London:
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"I know that we're capable that we're winning four or five games together. The side's getting stronger.
"The power in the team is beginning to come through. We showed good quality."
"As long as we keep to the pattern that we're working to, I think the rest will slip into place. There's so much good stuff, so much energy in our team today. We went down to ten men and you wouldn't have noticed."
Wycombe moved in to the League Two play-off places with victory at lowly Dagenham & Redbridge in a game where both sides had a man sent off.