Question: Consider a teal, causal sequence x[n] with discrete-time Fourier transform X(e j? ) = X R (e j? ) + jX I (e j? ).

Consider a teal, causal sequence x[n] with discrete-time Fourier transform X(e^j?) = X_R(e^j?) + jX_I(e^j?). The imaginary part of the discrete-time Fourier transform is?

X_I(e^j?) = 3 sin(2?).

Which of the real parts X_Rm(e^j?) listed below are consistent with this information:

XRI(el) = cos(2@), XR2(el") = -3 cos(2@) - 1, XR3(ei") = -3

XRI(el) = cos(2@), XR2(el") = -3 cos(2@) - 1, XR3(ei") = -3 cos(2w), XR4(el) 2 cos(3w), 3 XRs(ei") = cos(2w) + 1.

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