Wave Optics333Apply the given identity, realizing that () (sinsin)θβθ−+=−+()βand ( )coscos=+, to obtain ( ) ( ) ()(2cos 180sinsinn)12sinsin 180cosnnθβ+−°+==°+Apply the identity once again to get ( )2sinnsincossincos=+(2cossinsinn), or cos−=Since sincostan=, this simplifies to 2sintancosn=−(b) If , and 90 , 1n, the above result reduces to ==tann=, which is Brewster’s law. 24.67In the single slit diffraction pattern, destructive interference (or minima) occur where ( )sinmaλ=for . The screen locations, measured from the center of the central maximum, of these minima are at
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