x(N)=x(0) => sin(w0*N)=sin(0)=0 where requires that
w0*N=2*pi => 2*pi*f0/fs*N=2*pi => fs=N*f0;
With respect to signal sin, we can get that w0=1 =>fs = 2*pi*f0. Because 2*pi is not an integer, the sin will be never periodic.
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