v$\_($s$)($t$)=$A$\_(1)*$cos$(100$t$),$ and $,$i$\_($s$)($t$)=$A$\_(2)$

Find i$\_($a$)($t$)=$A$\_(3)\backslash$sqrt$(2)*$cos$(100$t$+$B$\_(3))+$A$\_(4)$

with $-180\backslash$deg

Given Variables:

A$1$: $100$ V

A$2$: $6$ A

C : $0\mathrm{.}1$ mF

L: $1\mathrm{.}5$ H

R$1$: $50$ ohm

R$2$: $100$ ohm

Calculate the following:

A$3($A$)$ :

B$3($degrees$)$ :

A$4($A$)$ :