The function `f(x)=|cos|` is periodic with period

The function f(x)=x-[x] is a periodic with period.

The function f(x)=x-[x] is a periodic with period.

Show that the function f(x) = cos 2x is periodic and find its period.

The function f(x)=|sin4x|+|cos2x| is a periodic function with period

The function f(x)=1/2{|sin x|/cos x +sin x/|cos x|} is periodic with period

If f(x) is a periodic function with peirodic function with period lambda then f(lambda x + u) where mu is any constant is periodic with period (T)/(a) .

If f(x) is periodic function with period, T, then