  We develop approximate ``analytic-kludge" waveforms to describe the inspiral
of a stellar-mass compact object into a supermassive compact object in an
extreme mass ratio inspiral (EMRI) scenario. The deformability of the
supermassive compact object is characterized by a dimensionless quantity called
the tidal Love number (TLN). Our analysis shows that, up to the leading order
of the mass ratio, the conservative dynamics of the EMRI are not affected by
tidal interaction, and the tidal effect is only present in the induced
quadrupole moment. We calculate the energy and angular momentum fluxes and
obtain leading order corrections to the orbital evolution equations. By
comparing the waveforms with and without tidal interaction, we demonstrate that
even a small TLN can produce significant differences in the waveforms, which
can be detected by space-borne detector LISA. Finally, using the Fisher
information matrix method, we perform parameter estimation for the TLN and find
that the precision can reach the level of $10^{-4}$ in suitable scenarios.
