Consider the signal $()$ as below.

$()=32$ sin$2(200+/6)+6$ sin$(400$t$)$ cos$(100)$

Suppose the above signal $()$ is served as input to a bandpass filter whose frequency response is

given by

$()=\{$

$1$

$2$

$$

$$

$500$ if $350<||$

$0$ otherwise

$($a$)$ Find the output $()$ for the input $()$

$[$Hint: Use formulas for sin$2$ and sin$()$ cos $()$ first$]$

$($b$)$ What is the power of the signal $()?$