P $5\mathrm{.}35$ A certain circuit element is known to be a resistance, an inductance, or a capacitance. Determine the type of the element if the voltage and current for the element are given by v$($t$)=500$sin$(200$t$+30)$V$,$ i$($t$)=2$cos$(200$t$+30)$A$.$ Determine the type of the element if the voltage and current for the element are given by v$($t$)=500$cos$(100$t$+50)$V$,$ i$($t$)=1$cos$(100$t$+50)$A$.$