In a large bowl or stand mixer, beat together butter and both sugars. Add in egg and beat until creamy. Mix in pumpkin and vanilla.
In a medium sized bowl, whisk together flour, baking soda, pumpkin pie spice, cream of tartar and salt.
Using hand mixer or stand mixer, slowly add flour mixture to wet mixture until all combined. Let batter chill in fridge for at least 90 minutes.
Preheat oven to 350F and line baking sheets with parchment paper.
In a small bowl, mix together sugar and cinnamon. Scoop dough into balls and roll in cinnamon sugar mixture. Place on baking sheet and press down slightly to flatten a little.
Bake for 12-14 minutes. Let cool 5 minutes and then move to a cookie rack until completely cooled.