For the circuit below with k$=2,$ is $1($t$)=3$cos$(2$t$+38\backslash$deg $)$A$,$ is $2($t$)=3$cos$(2$t$+61\backslash$deg $)$A$,$R$\_(1)=2\backslash$Omega $,$R$\_(2)=10\backslash$Omega

$,$ R$\_(3)=2\backslash$Omega $,$C$\_(1)=0\mathrm{.}2$F$,$L$\_(1)=2$H$,$ use the phasors method, and the following methods:

nodal analysis $-$ Calculate the node voltages in polar form, then calculate i$\_($a$)($t$)(10$ pts$)$;

mesh analysis $-$ also calculate the mesh currents in polar form, then calculate i$\_($a$)($t$)(10$ pts$).$