Preheat oven to 350°.
In a large bowl, blend the butter and sugar together with a whisk until creamy. Add in the egg, vanilla extract, and peppermint extract.
In a separate large bowl, sift together your flour, and cocoa powder. Stir together.
Slowly add the flour and cocoa powder mixture to the wet mixture, and mix together.
Next, add in the baking powder and salt.
Place a large sheet of parchment paper on a flat surface.
Divide half of the cookie dough onto the parchment paper. (By only using half of your dough, you’ll be able to fit it all on your parchment paper.)
Place another piece of parchment paper on top of the dough and roll it out until 1/4 inch thin.
Repeat the last 3 steps for the other half of the dough.
Refrigerate the dough for at least two hours. Continue to keep the dough in between the parchment paper.
After the dough has cooled in the fridge, remove one flat piece at a time and use a 1- 3/4 to 2-inch round cookie cutter to cut out about 20 cookies.
Transfer the cookie dough to a cookie sheet. Give each cookie just a little bit of room to expand. (Since your cookies are so small, and they don’t expand much in the oven, you can place as many on a cookie sheet as you’d like.)
Bake cookies for 8 minutes or until fully cooked.
Remove from the oven, and transfer to a cooling rack. Allow them to fully cool.