In a stand mixer fitted with the paddle attachment, cream the butter and sugar. Add eggs and vanilla. Scrape bowl.
Mix the flour, cream of tartar, baking soda, and salt in a separate bowl. Add dry ingredients to wet ingredients and mix until incorporated.
Scoop dough into balls with a cookie scoop. (I used a #30 scoop, about 2½-inch balls.) In a separate bowl combine sugar and cinnamon for coating. Roll each cookie dough ball in the cinnamon-sugar mixture and place a few inches apart on a greased cookie sheet. (Or line cookie sheet with parchment paper or a silicone baking mat.)
Bake at 350 degrees Fahrenheit for 10-12 minutes (*If your pan is seasoned/dark it will take less time.) Let cookies rest on the cookie sheet for a minute, then transfer to a wire rack to cool completely.