  The \tau \to \omega,\phi \pi^- \nu_\tau decays of the \tau lepton are studied
using the method of phenomenological SU(3) * SU(3) chiral Lagrangians. It is
shown that the obtained value for the \tau \to \phi \pi \nu_\tau decay
probability is very sensitive to deviations from the mixing angle. Calculated
partial widths for these decays are compared with the available experimental
and theoretical data.
