Snickerdoodle Cookie Cake

Name: Snickerdoodle Cookie Cake
Ingredients: 8 tablespoons (1 stick) unsalted butter; 1 cup plus 1 teaspoon granulated sugar, divided; 1/2 cup packed light brown sugar; 1 large egg; 1 large egg yolk; 2 teaspoons vanilla extract; 3/4 teaspoon kosher salt; 1 3/4 cups all-purpose flour; 1 1/2 teaspoons ground cinnamon, divided; 1/2 teaspoon cream of tartar; 1/4 teaspoon baking soda