Fermat's principle states that when light propagates from point A to point B, it follows the path that consumes minimal time. Show that, using Fermat's principle, the angle of incidence is equal to the angle of reflection. Assume that the speed of light is constant (c) during the entire process. (Opt, no partial points) You may use the setup in the figure below.
Pi (a,b)
P (a,b)
Reflection Plane
X