  In this paper we study propagation of the high frequency electromagnetic
waves in a curved spacetime. We discuss a so call spinoptics approach which
generalizes a well known geometric optics approximation and allows one to take
into account spin-dependent corrections. A new element proposed in this work is
the use of effective action which allows one to derive spinoptics equations.
This method is simpler and more transparent than the earlier proposed methods.
It is explicitly covariant and can be applied to an arbitrary spacetime
background. We also demonstrate how the initial value problem for the high
frequency electromagnetiv wave can be soled in the developed spinoptics
approximation.
