Move the furniture to a different room or to the center of the room. Cover the floor and all furniture left in the room with drop cloths.
Place blue painter's tape along the edges of the molding. It will protect the molding.
Apply paint along the edge of the coved ceiling with a paintbrush. This task is called "cutting in." Apply the paint with smooth, broad strokes, working parallel to the molding.
Move the furniture to a different room or to the center of the room.
Cover the floor and all furniture remaining in the room with drop cloths.
Apply paint to the curved area where the wall and ceiling meet with a paint roller attached to an extension pole. Cover an area of about 3 square feet before painting a different area, and apply the paint with a motion that makes the letter "W" followed by a motion that makes the letter "M" to cover the entire section.