Preheat oven to 375°F. Line three cookie sheets with parchment paper.
In the bowl of a stand mixer (or using a hand-held mixer on the highest setting) cream together butter and sugar (about 2-3 minutes).
Add in the egg, mashed bananas, and vanilla. Mix until fully incorporated.
With the mixer on low (or off) add flour, cream of tartar, baking soda, and salt. Mix until just combined.
Using a 1-tablespoon scoop, scoop out rounded balls of dough and place them close together on one of the prepared cookie sheets.
In a wide bowl, mix the granulated sugar and the cinnamon together. A fork works well, but a small whisk also does the trick.
Roll the dough balls in the cinnamon-sugar mixture, then place them 2 inches apart on the prepared cookie sheets.
Bake for 8-10 minutes.
Carefully remove the cookies from the baking sheets and place them on a cooling rack to cool completely.
