Preheat oven to 375°F (190°C).
In a mixing bowl, cream together the butter and 1.5 cups of sugar until light and fluffy.
Add the eggs and vanilla extract, and beat until well combined.
In another bowl, whisk together the flour, cream of tartar, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
In a small bowl, mix together the 2 tablespoon of sugar and 2 teaspoon of ground cinnamon.
Roll the dough into 1-inch balls, then roll each ball in the cinnamon sugar mixture.
Place the coated dough balls onto a baking sheet, about 2 inches apart.
Bake for 8-10 minutes, or until the edges are set and the centers are soft.
Allow the cookies to cool on the baking sheet for a few minutes before transferring to a wire rack to cool completely.