Mix butter, 3/4 cup sugar and eggs in a large bowl until well combined.
Combine the flour, cream of tartar, baking soda and salt in another bowl.
Blend the dry ingredients into the butter mixture until dough forms.
Chill the dough in a refrigerator (about 15 minutes).
In another small bowl, combine the remaining sugar and cinnamon.
Roll the dough into the desired size and roll in the cinnamon sugar until covered (remember to make miniature cookies, about 1/2" dough balls if you are using them for the cupcakes).
Place on a cookie sheet and bake 10 minutes (no more or you will have rocks for cookies!)