Preheat your oven to 350°F (175°C).
Line a cookie sheet with parchment paper.
In a large mixing bowl, beat the softened butter and 1 cup of sugar together until light and fluffy.
Add the large egg and vanilla extract to the butter-sugar mixture and beat until well combined.
In a separate bowl, whisk together the all-purpose flour, baking soda, cream of tartar, and ground cinnamon.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
In a small bowl, combine the remaining 2 tablespoons of sugar with 1 teaspoon of ground cinnamon.
Using a spoon or cookie scoop, portion out the dough and roll each ball in the cinnamon sugar mixture.
Place the cookies on the prepared baking sheet, spacing them about 2 inches apart. Bake for 8-10 minutes.
Remove from the oven and let the cookies cool on the sheet for 5 minutes before transferring them to a cooling rack.