Determine whether periodic and find fundamental period of 1

Determine whether periodic, and find fundamental period of

1) sin²(x)=(1-cos(2x))/2

2) sin(sin(4x))

3) x(sin(x))

Solution

1.

sin2(x+pi) = (1-cos(2(x+pi)))/2

=>

fundamental period =

2.

sin(sin(4(x+pi/2)) = sin(sin(4x))

=>
fundamental period = /2

3.

NOT periodic