Preheat oven to 300 degrees and spray a cookie sheet with nonstick spray.
In a large bowl, cream the butter and sugar together using an electric mixer on high.
Add the egg and vanilla and beat until smooth.
In a separate bowl, combine the flour, salt, baking soda, and cream of tartar.
Pour the dry ingredients into the wet and mix together until dough is formed.
Mix the sugar and cinnamon together in a bowl.
Form the cookie dough into balls (about 2 tablespoons per ball), the roll in the sugar mixture, and then press gently onto the cookie sheet.
Bake for about 12 minutes until golden around the edges. Remove from oven and transfer to rack to cool.