  We revisit dispersionless version of the multicomponent KP hierarchy
considered previously by Takasaki and Takebe. In contrast to their study, we do
not fix any distinguished component treating all of them on equal footing. We
obtain nonlinear equations for dispersionless tau-function (the F-function) and
represent them using the trigonometric parametrization. In this trigonometric
uniformization the equations considerably simplify and acquire a nice form.
