  Graphene on an insulating ferromagnetic substrate---ferromagnetic insulator
or ferromagnetic metal with a tunnel barrier---is expected to exhibit giant
proximity exchange and spin-orbit couplings. We use a realistic transport model
of charge-disorder scattering and solve the linearized Boltzmann equation
numerically exactly for the anisotropic Fermi contours of modified Dirac
electrons to find magnetotransport signatures of these proximity effects:
proximity anisotropic magnetoresistance, inverse spin-galvanic effect, and the
planar Hall resistivity. We establish the corresponding anisotropies due to the
exchange and spin-orbit couplings, with respect to the magnetization
orientation. We also present parameter maps guiding towards optimal regimes for
observing transport magnetoanisotropies in proximity graphene.
