In a medium bowl, combine flour, anise, baking powder, salt, and 1 teaspoon ground cinnamon. In a second bowl, beat butter and 3/4 cup sugar until light and fluffy. Blend in egg and vanilla. Once mixture is smooth, blend in flour mixture. Divide dough in half and roll each half into a ball. Wrap dough in plastic wrap and freeze for 1 hour until firm.

Preheat oven to 350°. On a flour-coated cutting board and using a flour-coated rolling pin, roll dough into a 1/4-inch-thick circle. Cut dough into 2-inch shapes (such as stars).

Combine remaining 1 tablespoon sugar and 1/2 teaspoon cinnamon in a small bowl. Sprinkle cookies with cinnamon-sugar mixture. Transfer to a baking sheet coated with cooking spray. Bake for 10 minutes until golden.