Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): `f(x)=tanpi/2[x]`

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=x-[x-b],b in R

Find the period (if periodic) of the following function ( l.] denotes the greatest integer functions :f(x)=(|sin x+cos x|)/(|sin x|+|cos x|)

Find the periods (if periodic) of the following functions, where [.] denotes the greatest integer function f(x)=(abs(sinx+cosx))/(abs(sinx)+abs(cosx))

Sketch the graph of the following function: f(x)=[|x-1|.] denotes the greatest integer function

Find the range of the following function: f(x)=ln(x-[x]), where [.] denotes the greatest integer function

find the period of the following functions: f(x)=cos(x/2)

find the period of the following functions: f(x)=3sin2x

Which of the following function is not periodic, where [.] denotes greatest integer function