In a mixing bowl, cream together 3/4 cup of softened butter and 1 cup of granulated 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, baking soda, salt, and cream of tartar.
Gradually blend the dry ingredients into the creamed mixture until just combined.
Chill the dough for 10 minutes in the refrigerator.
Preheat your oven to 350°F (175°C) and line baking sheets with parchment paper.
In a small bowl, mix 1/3 cup granulated sugar with 1 1/2 tablespoons ground cinnamon.
Scoop the dough into 1-inch balls, roll in the cinnamon-sugar mixture, and place on the prepared baking sheets.
Bake for 11 minutes or until the edges are slightly golden. The centers will be soft.
Allow the cookies to cool on the baking sheet for a few minutes before transferring to a wire rack to cool completely.