Parked car over night in 10-25 degree weather snowing and icy car has always been garaged and always started Now it makes a tapping noise when you try to start it not like a dead battery?

The battery has chilled, it will need to be warmed up. Put it on charge for about an hour or so, then try again.

The temperature of the electrolyte, is critical to the efficiency of the Electrolytic process used by the battery to produce power. A cold battery is the No. 1 cause of winter starting problems.