Preheat your oven to 350°F (175°C).
In a medium bowl, whisk together the all-purpose flour, baking powder, cream of tartar, ground cinnamon, and salt.
In a large mixing bowl, combine the softened unsalted butter and peanut butter. Beat until creamy, then gradually add in the granulated and brown sugars, mixing well.
Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.
Gradually add the dry ingredient mixture to the wet ingredients, mixing on low speed until just combined.
In a small bowl, combine the additional granulated sugar and ground cinnamon for rolling.
Scoop portions of dough, roll into balls, and then roll each ball in the cinnamon-sugar mixture.
Place the coated dough balls on a baking sheet lined with parchment paper, leaving space for spreading. Bake for 10-12 minutes, until edges are lightly golden.
Allow the cookies to cool on the baking sheet for about 5 minutes before transferring to a wire rack to cool completely.