A wave is modeled with the function y$($x$,$t$)=(0\mathrm{.}25$m$)$cos$(0\mathrm{.}30$m$1$x$0\mathrm{.}90$s$1$t$+$$3).$ Find the $($a$)$ amplitude, $($b$)$ wave number, $($c$)$ angular frequency, $($d$)$ wave speed, $($e$)$ initial phase shift, $($f$)$ wavelength, and $($g$)$ period of the wave.