is$($t$)=$ A$1*$cos$(1000$t$+$pi$/2)+$ A$2$cos$(2000$t $-$ pi$/2)$ Assume the system is in steady state. Find ia$($t$)$ at times t$1=4$pi t$2=5$piGiven Variables:

A$1$ : $9$ A

A$2$ : $3$ A

L : $2$ mH

C : $500$ uF

R$1$ : $10$ ohm

R$2$ : $2$ ohm

k : $3$ V$/$A

Calculate the following:

B$1($A$)$ :