  We investigate the question of how tightly we can constrain the cosmological
parameters by using the ``cosmic inversion'' method in which we directly
reconstruct the power spectrum of primordial curvature perturbations, $P(k)$,
from the temperature and polarization spectra of the cosmic microwave
background (CMB). In a previous paper, we suggested that it may be possible to
constrain the cosmological parameters using the fact that the reconstructed
$P(k)$ does not depend on how many polarization data we incorporate in our
inversion procedure if and only if the correct values of the cosmological
parameters are used. The advantage of this approach is that we need no
assumption regarding the functional form of $P(k)$. In this paper, we estimate
typical errors in the determination of the cosmological parameters when our
method is applied to the PLANCK observation. We investigate constraints on $h$,
$\Omega_b$, $\Omega_m$, and $\Omega_\Lambda$ through Monte Carlo simulations.
