Consider a real, narrowband signal \(x(t) = A(t)\cos[2\pi f_c t + \theta(t)]\) where the maximum frequency components of \(A(t)\) and \(\theta(t)\) are \(f_M\) and \(f_c\) (\(=1000f_M\)), respectively. Which of the following statements is/are correct for \(-\infty<t<\infty\)?