Combine 3/4 cup granulated sugar, brown sugar, and butter in a medium bowl; beat with a mixer at medium speed until light and fluffy. Beat in vanilla and egg.
Lightly spoon flour into dry measuring cups; level with a knife.
Combine flour, baking powder, 1/2 teaspoon cinnamon, and salt, stirring well with a whisk.
Add flour mixture to butter mixture; beat just until combined. Shape dough into 30 balls.
Combine 1/3 cup granulated sugar and 1 1/2 teaspoons cinnamon in a small shallow dish.
Roll balls in sugar mixture, and place 2 inches apart on baking sheets coated with cooking spray.
Bake at 400 for 8 minutes or until tops crack. Cool on pans 1 minute.