A comet orbits a star in a highly elliptical orbit. An astronomer takes a very large number of photographs of the comet at completely random times over thousands of orbits. For each photograph, the astronomer records the comet's angular position $\theta$ relative to the star. The angle is defined such that $\theta = 0^\circ$ corresponds to the point of closest approach (periapsis), and $\theta = 180^\circ$ corresponds to the point of farthest approach (apoapsis). Which of the following best describes the probability distribution of the recorded angles $\theta$?