Preheat oven to 400 degrees F.
In a medium bowl, mix together white sugar, eggs, vanilla, and butter.
Then slowly add flour, baking soda, salt, and cream of tartar. Mix until well incorporated.
Form dough into small balls of about 1 inch.
Roll dough in remaining white sugar and cinnamon and put on an ungreased baking sheet.
Bake 6-8 minutes in the preheated oven being careful not to overcook.