Chapter 37, Problem 46AP

1. (a) Light traveling in a medium of index of refraction n₁ is incident at an angle θ on the surface of a medium of index n₂. The angle between reflected and refracted rays is β. Show that

$\tan \theta =\frac{n_2\sin \beta }{n_1-n_2\cos \beta }$

1. (b) What If? Show that this expression for tan θ reduces to Brewster’s law when β = 90°.