  Floquet engineering is one of the most vigorous fields in periodically driven
(Floquet) systems, with which we can control phases of matter usually by
high-frequency drives. In this paper, with Floquet engineering by a combination
of high-frequency drives and resonant drives, we propose a way to realize
nontrivial topological phases protected by a $\mathbb{Z}_2 \times \mathbb{Z}_2$
symmetry only in the presence of a $\mathbb{Z}_2$ symmetry, using a robust
emergent $\mathbb{Z}_2$ symmetry induced by the resonant drives. Moreover, the
symmetry protected topological (SPT) phases are switchable between nontrivial
and trivial phases only by the direction of a static transverse field, and even
perturbations on the resonant drive can be utilized to realize richer SPT
phases. We also discuss the real-time dynamics of the model, and find that
which topological phases the system lies in can be distinguished by a period
doubling of a nonlocal order parameter, as with discrete time crystals. A
realization or a control of nontrivial SPT phases without the required
symmetries by resonant drives, proposed in this paper, would shed a new light
on the observation of topological phenomena in nonequilibrium setups.
