  Superconducting double transition in PrOs_4_Sb_12 is investigated by
analyzing the anisotropy of the upper critical field H_c2 in the ab-plane, and
the possible pairing state is discussed. When mixing due to gradient coupling
is active, the twofold-symmetric component is necessarily induced in the
fourfold symmetric phase, leading to the twofold oscillation of H_c2, contrary
to the experimental result. To avoid the mixing effect, the weak spin-orbit
coupling triplet pairing state is considered as a likely pairing function,
where time-reversal symmetry is broken.
