  Motivated by recent experimental progress, we study the effect of mechanical
deformations on the superconducting pairing symmetries in monolayer black
phosphorus (MBP). Starting with phonon-mediated intervalley spin-singlet
electron-electron pairing and making use of realistic band parameters obtained
through first-principles calculations, we show that the application of weak
mechanical strain in the plane of MBP can change the effective $s$-wave and
$p$-wave symmetry of the superconducting correlations into effective $d$-wave
and $f$-wave symmetries, respectively. This prediction of a change in the
pairing symmetries might be experimentally confirmed through angular dependence
high-resolution tunneling spectroscopy, the Meissner effect, and critical
temperature experiments. The idea of manipulating the superconducting symmetry
class by applying planar mechanical strain can be extended to other anisotropic
materials as well, and may help in providing important information of the
symmetries of the order parameter, perhaps even in some high-$T_c$
superconductors.
