$6\mathrm{.}3$ Consider the function: $g(x)=\frac{4-8si{n}^{2}x}{3}$

$6\mathrm{.}3\mathrm{.}1$ Calculate the maximum value of $g.$

$6\mathrm{.}3\mathrm{.}2$ Write down the smallest possible value of $x$ for which $g$ will have a maximum value in the interval xin$(0$;$360].$

$[18]$