  We find that the normal muon polarization in the decay K->mu nu_mu gamma is
very sensitive to the values of the kaon vector F_V and axial-vector F_A form
factors. It is shown that the ongoing KEK-E246 experiment can definitely
determine the signs of the sum of the form factors if their difference is fixed
from other considerations. This method can also verify the form factor values
and signs obtained from the K^+ -> l^+ nu_l e^+ e^- decays. A new experiment
with sensitivity to the normal and transverse muon polarizations of about 10^-4
will provide a unique possibility to determine the F_V and F_A values with a
few percent accuracy.
