Preheat oven to 400 degrees F.
Cream together butter, shortening, 1 1/2 cups sugar, the eggs and the vanilla. Blend in the flour, cream of tartar, soda and salt. Shape dough by rounded spoonfuls into balls.
Mix the 2 tablespoons sugar and the cinnamon. Roll balls of dough in mixture. Place 2 inches apart on ungreased baking sheets.
Bake 8 to 10 minutes, or until set but not too hard. Remove immediately from baking sheets.