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Preheat your oven to 400°F. Line a darker cookie sheet with a silicone baking mat or parchment paper.
In a medium bowl, mix together the flour, cream of tartar, baking soda, and salt. Set aside.
In a large mixer bowl, cream the butter and 1 1/2 cups of sugar until the mixture is light and fluffy, about 2-3 minutes.
Beat in the eggs one at a time, ensuring each is fully incorporated before adding the next. Scrape down the sides of the bowl as necessary.
Mix in the vanilla extract until well blended.
Gradually add the dry ingredients to the wet mixture and mix until fully combined.
In a small bowl, combine the remaining 3 tablespoons of sugar with the cinnamon.
Form the cookie dough into one-tablespoon-sized balls.
Roll each dough ball in the cinnamon sugar mixture and place them on the prepared cookie sheet, spacing them about 2 inches apart.
Bake for 6-8 minutes.
Once done, remove the cookies from the oven and let them rest for 2-3 minutes before transferring them to a cooling rack.
Store the cooled cookies in an airtight container.