Preheat your oven to 350°F (175°C). Line two large baking sheets with parchment paper and set aside.
In a small, shallow bowl, whisk together the 1/4 cup of granulated sugar and the 1 1/2 tablespoons of ground cinnamon to create your rolling coating. Set aside.
In a large mixing bowl or the bowl of a stand mixer, cream the softened butter and 1 1/2 cups of granulated sugar on high speed until light and fluffy, about 3 minutes.
Add the eggs and vanilla extract to the butter mixture. Beat on medium speed until well combined. Scrape down the sides of the bowl.
In a separate medium bowl, whisk together the all-purpose flour, cream of tartar, baking soda, and salt.
Gradually add the dry flour mixture into the wet ingredients, blending on low speed just until a soft dough forms. Do not overmix.
Using a cookie scoop, portion the dough into 1.5 tablespoon-sized balls. Roll each dough ball heavily in the cinnamon-sugar mixture until fully coated.
Place the coated cookie dough balls 2 inches apart on the prepared baking sheets.
Bake for 9-11 minutes. The cookies will puff up and then flatten slightly, creating crinkled edges.
Remove from the oven and let the cookies cool on the hot baking pan for 5 minutes before transferring them to a wire rack to cool completely.