I need the matlab code for $6\mathrm{.}2$

An algorithm for generating a Gaussian random variable from two independent uniform random variables is easily derived.

$($a$)$Let $$ and $$ be two statistically independent random numbers uniformly distributed in $[0,1].$ Show that the following transformation generates two statistically independent Gaussian random numbers with unit variance and zero mean:

$=$cos$(2)=$sin$(2)$

where $$

$=2$ln$()$

Hint: First show that $$ is Rayleigh.

$($b$)$Generate $1000$ random variable pairs according to the above algorithm. Plot histograms for each

set $($i$.$e$.,$ and $),$ and compare with Gaussian pdfs after properly scaling the histograms $($i$.$e$.,$ divide each cell by the total number of counts times the cell width so that the histogram approx$-$ imates a probability$-$density function$).$ Hint: Use the hist function of MATLAB.