  The shear viscosity tensor of the A_1-phase of superfluid 3He is calculated
at low temperatures and melting pressure, by using Boltzmann equation approach.
The two normal and superfluid components take part in elements of the shear
viscosity tensor differently. The interaction between normal and Bogoliubov
quasiparticles in the collision integrals is considered in the binary, decay
and coalescence processes. We show that the elements of the shear viscosities
$\eta_{xy}$, $\eta_{xz}$ and $\eta_{zz}$ are proportional to $(T/T_c)^{-2}$.
The constant of proportionality is in nearly good agreement with the
experimental results of Roobol et al.
