Preheat oven to 350°F (175°C).

In a large bowl, cream together the shortening and sugar until light and fluffy.

Beat in the eggs one at a time, then stir in the vanilla extract.

In a separate bowl, whisk together the flour, cream of tartar, soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

In a small bowl, combine cinnamon and sugar for coating.

Roll the dough into small balls.

Roll each ball in the cinnamon-sugar mixture.

Place the coated balls onto ungreased baking sheets.

Bake for 8 to 10 minutes, or until edges are lightly golden.

Let cool on baking sheets for a few minutes before transferring to a wire rack to cool completely.