Is phi dense in X? Here X is the space of all continuous functions f:[0,2pi] ->R with f(0)=f(2pi), endowed with the sup norm ll f ll = sup_0< or = x< or = 2pi l f(x) l, and phi is the subspace of X of all functions phi (x) = rho(sinx), where rho: R->R is any polynomial.
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