Make the Dough: In a mixing bowl, cream together ½ cup softened butter and ½ cup sifted powdered sugar using an electric mixer. Beat until the mixture is pale and fluffy, ensuring the butter is at room temperature for easier blending.
Incorporate Egg and Vanilla: Add 1 egg yolk and ½ tsp vanilla extract to the creamed mixture. Mix until everything is well combined, and the mixture is smooth.
Sift and Mix in Flour: Gradually sift 1 cup + 2 tbsp all-purpose or cake flour into the bowl. Gently fold it in with a spatula or wooden spoon until just combined. Be careful not to overmix, as this could make the cookies tough.
Refrigerate the Dough: Wrap the dough in plastic wrap and refrigerate it for about 20 minutes. This firms up the butter, making the dough easier to shape.
Divide and Shape: Once chilled, divide the dough into two equal portions. Roll each portion into a log about 4 inches long and 1 inch in diameter. Aim for a uniform thickness to ensure even baking.
Freeze the Dough Logs: Wrap each log in plastic wrap and place them in the freezer for 45 minutes to firm up. This will help the cookies retain their shape during baking.
Preheat Oven: Preheat your oven to 356°F (or 180°C). While the oven is heating, line a baking sheet with parchment paper to prevent sticking.
Coat with Sugar and Slice: After the dough logs are frozen, remove them from the wrap. Roll the logs in ¼ cup granulated sugar, coating them evenly. Using a sharp knife, slice the logs into ⅜ inch disks and place them on the prepared baking sheet. Ensure there is adequate spacing between each piece to allow for spreading.
Bake: Place the baking sheet in the preheated oven and bake for 15-18 minutes, or until the cookies are slightly golden brown on the edges. Keep an eye on them, as baking times can vary based on your oven.
Cool and Serve: Once baked, remove the cookies from the oven and let them cool on the baking sheet for about 5 minutes before transferring them to a wire rack to cool completely. Enjoy your delicious cookies!