old_contents: from math import cos, sin, pi, hypot
  
  def rotate(polygon, angle):
      rotated_points = []
      cos_result = cos(angle)
      sin_result = sin(angle)
      for point in polygon:
          x = point[0] * cos_result - point[1] * sin_result
          y = point[0] * sin_result + point[1] * cos_result
          rotated_points.append((x, y))
      return rotated_points
  
  def move(point, direction, amount):
      return [point[0] + amount * cos(direction),
              point[1] + amount * sin(direction)]
  
  def distance(point1, point2):
      return hypot(point1[0] - point2[0], point1[1] - point2[1])
  
new_contents: from math import cos, sin, pi, hypot
  
  def rotate(polygon, angle):
      rotated_points = []
      cos_result = cos(angle)
      sin_result = sin(angle)
      for point in polygon:
          x = point[0] * cos_result - point[1] * sin_result
          y = point[0] * sin_result + point[1] * cos_result
          rotated_points.append((x, y))
      return rotated_points
  
  def move(point, direction, amount):
      return [int(point[0] + amount * cos(direction)),
              int(point[1] + amount * sin(direction))]
  
  def distance(point1, point2):
      return hypot(point1[0] - point2[0], point1[1] - point2[1])
  
subject: Fix move to return only int, draw functions cannot handle floats as coordinates