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