Preheat oven to 350°F (175°C). Line baking sheets with parchment paper.
In a medium bowl, whisk together flour, baking powder, baking soda, and salt. Set aside.
In a large bowl, beat softened butter and granulated sugar until light and fluffy. Add eggs one at a time, beating well after each addition. Mix in vanilla extract.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
On a lightly floured surface, roll dough into a 12x16-inch rectangle.
Brush the surface of the dough with melted butter. In a small bowl, mix brown sugar and cinnamon, then sprinkle evenly over the dough.
Starting from the long side, tightly roll the dough into a log. Cut into 1/2-inch thick slices.
Place cookies 2 inches apart on prepared baking sheets. Bake for 9–11 minutes, or until edges are lightly golden.
Allow cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.
Notes
Store in an airtight container at room temperature for up to 5 days. These cookies also freeze well for up to 3 months.