Given $(1)=141\mathrm{.}4$sin$($t $+30)$ volts and i$($t$)=11\mathrm{.}31$cos$($cot $-30)$ amps, find:

a$)$ The maximum values of v$($t$)$ and i$($t$)$

b$)$ The RMS values of vt$)$ and i$(1)$

c$)$ The phasor expression of vl$)$ and it$)$ in both polar and rectangular form $($you may take the voltage as the reference phasor$)$

d$)$ Is this circuit primarily inductive or capacitive? Why?