consider the following functions: f$($x$)=$sin$($x$),$ g$($x$)=$cos$($x$).$ Calculate the following: $($a$)$ the domain and range of f$^-1($x$).($b$)$ the domain and range of g$^-1($x$).($c$)$ f$^-1($f$(11$pi$/6)).($d$)($f$/$g$)$x$($f$^-1(-1/2))$