x$($t$)$ and y$($t$)$ are two periodic signals with x$($t$)$ having a fundamental period $$ and y$($t$)$

having a fundamental period $.$ If $()=()+(),$ what is the condition required to

be satisfied for $()$ to be periodic? If $()$ is periodic, what is its fundamental period?

$($b$)$ Given signals are periodic $/$ aperiodic? If periodic, find its time period

$($i$)()=$ cos$(/3)+$ sin$(/4)$

$($ii$)()=$ cos $+$ sin$(2)$