Both v$\_$s and i$\_$s are AC sources with $=400$ rad$/$s$.$ Someone did two measurements on the circuit and found:

v$($t$)=$ A$$ cos$(400$t $+$ B$)($this is v$,$ not v$\_$s $!)$

i$\_$s$($t$)=2$ cos$(400$t $+$ $/6)$

$($a$)$ Find the average power P$$ received by the resistor

$($b$)$ Find the average power P$$ supplied by current source i$\_$s

$($c$)$ Find the average power P$$ received by the inductor

Given Variables:

A$1$ : $10$ V

B$1$ : $-150$ degrees

Calculate the following:

P$1($W$)$ :