Preheat oven to 350°F. Grease cookie sheets or line with parchment paper.
In a large bowl of an electric mixer beat sugar and butter at medium speed for 2 minutes until light and fluffy. Add vanilla and eggs and bled well.
In a separate bowl, mix together flour, cream of tartar, baking soda, and salt. Add this mixture to the butter mixture. Mix until combined.
In a small bowl, combine 2 tablespoons of sugar and cinnamon. Shape dough into 1 ½ inch balls; roll balls of dough in sugar mixture. Place 2 inches apart on lined cookie sheets.
Bake for 8-10 minutes or until set. Immediately remove from cookie sheets. Cool completely.