Please show all work and formulas. Please do not skip any math steps.

Problem 3: Nonglare Glass: When viewing a piece of art that is behind glass, one often is Non-Commercial Use Only affected by the light that is reflected off the front of the glass (called glare), which can make it difficult to see the art clearly. One solution is to coat the outer surface of the glass with a film to cancel part of the glare. (a) If the glass has a refractive index of glass:1.62 and you use Tio, which has an index of refraction of n7 :=2.62, as the coating, what is the minimum film thickness that will cancel light of wavelength X:=505 - nm? (b) If this coating is too thin to stand up to wear, what other thickness would also work? Find only the three thinnest ones