$($Lec $23,$ LO$248$b$)$ Unpolarized light passes through two Polaroid sheets. The transmission axis of the analyzer makes an angle of $25\mathrm{.}1$ with the axis of the polarizer.

$($a$)$ What fraction of the original unpolarized light is transmitted through the analyzer? $($Enter your answer to at least three decimal places.$)$

$($b$)$ What fraction of the original light is absorbed by the analyzer?