Heat oven to 375 degrees.

In a large bowl, mix together the shortening (or shortening and butter) and sugar until smooth. Stir in the eggs. Add vanilla (optional).

Combine the flour, baking soda, cream of tartar and salt; stir into the batter until blended.

Roll the dough into balls - I use a tablespoon to scoop them out. Roll in a mixture of 3 tablespoons sugar and 1 tablespoon cinnamon. Place 2 inches apart on a cookie sheet.

Bake for 9 minutes. Could be longer if you make them a little bigger, so just watch them.  They will crack so you can see when the inside is done. 

Cool on rack. Serve either warm or cold.