A sinusoidal voltage is given by the expression v $=10$ cos $(3769\mathrm{.}91$ t $-53\mathrm{.}13$ degree$)$ V$.$ Find $($a$)$ f in hertz; $($b$)$ T in milliseconds; $($c$)$ V$\_$m$,($d$)$ v $(0)$; $($e$)$ phi in degrees and radians; $($f$)$ the smallest positive value of t at which v $=0$; and $($g$)$ the smallest positive value of t at which dv$/$dt $=0.$ Find the complex power