Preheat oven to 350 degrees Fahrenheit (175 degrees Celsius) and line two baking sheets with parchment paper.

In a large bowl, cream together the softened butter, 1/2 cup granulated sugar, and brown sugar until light and fluffy.

Beat in the egg and vanilla extract until fully incorporated.

In a separate bowl, whisk together the flour, baking soda, cream of tartar, salt, and 2 teaspoons of cinnamon.

Gradually add the dry ingredients to the wet ingredients, mixing until a soft dough forms.

In a small bowl, combine the 1/3 cup granulated sugar and 1 tablespoon ground cinnamon for the coating.

Scoop 1-tablespoon portions of dough and roll into balls approximately 1 inch in diameter.

Roll each ball in the cinnamon-sugar mixture until evenly coated.

Place the dough balls on the prepared baking sheets, spaced 2 inches apart.

Bake for 8 to 10 minutes or until the edges are set but the centers remain soft.

Allow cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack.