Thomas Mikkelsen ended Ross County's wait for a home win as his late goal saw off Hamilton.
The Danish forward calmly stroked in a pass from fellow substitute Alex Schalk to seal a come-from-behind 2-1 win.
Schalk pulled County level on 71 minutes to cancel out Greg Docherty's opener at the start of the second half.
It ends a run of six home games without a win and gives Coyle his first triumph in Dingwall.
The Staggies made one change from the 2-1 defeat to Hearts, bringing in Billy McKay for Ross Draper....