Successfully complete the game. Then, go to the Trogdor Machine. When you press it, it will start up Trogdor 3-Dungeon.
After Trogdor gets out of the machine, go to the House Of Strong. Get the ghosts out of the House Of Strong by helping all four colonel ghosts (the blue ones). Then, go out to the field. Somewhere in between the cool car and photo booth will be a Redcoat Ghost. Shoot it with the light musket. When you check the game stats under the "Video Game" section, it should read "Redcoat Ghost Patrol" and that you have 100 points for it. To get more points, go to the same place, and shoot the Redcoat Ghost until you get the desired amount of points.
After Trogdor is out of the machine and the ghosts are out of the House Of Strong, go to a Redcoat Ghost found somewhere in the field. Take out your light musket. If you miss it, The Cheat will come out of nowhere and laugh, similar to how the dog on Duck Hunt appeared.