import math


def rotatedRectWithMaxArea(w, h, angle):
	"""
	Given a rectangle of size wxh that has been rotated by 'angle' (in
	radians), computes the width and height of the largest possible
	axis-aligned rectangle (maximal area) within the rotated rectangle.
	"""
	if w <= 0 or h <= 0:
		return 0,0

	width_is_longer = w >= h
	side_long, side_short = (w,h) if width_is_longer else (h,w)
  
	# since the solutions for angle, -angle and 180-angle are all the same,
	# if suffices to look at the first quadrant and the absolute values of sin,cos:
	sin_a, cos_a = abs(math.sin(angle)), abs(math.cos(angle))
	if side_short <= 2.*sin_a*cos_a*side_long or abs(sin_a-cos_a) < 1e-10:
		# half constrained case: two crop corners touch the longer side,
		#   the other two corners are on the mid-line parallel to the longer line
		x = 0.5*side_short
		wr,hr = (x/sin_a,x/cos_a) if width_is_longer else (x/cos_a,x/sin_a)
	else:
		# fully constrained case: crop touches all 4 sides
		cos_2a = cos_a*cos_a - sin_a*sin_a
		wr,hr = (w*cos_a - h*sin_a)/cos_2a, (h*cos_a - w*sin_a)/cos_2a

	return wr,hr