Preheat oven to 375°F and line several baking sheets with parchment paper.
In a large bowl, using a hand mixer to cream together the butter and sugar, until light and fluffy (about 3 minutes).
Add in the eggs and vanilla and continue mixing until combined.
Add the flour, cream of tartar, soda, and salt and mix until just combined.
In a medium bowl combine sugar and cinnamon. Whisk together.
Use a 1 tablespoon scoop to scoop out dough, roll into a ball and then roll in the cinnamon sugar mixture.
Place on the baking sheet, spaced about 2 inches apart.
Bake 6 to 8 minutes, or until lightly browned on the edges but still soft in the middle.