Equation of sound wave propagating in still air is y=a sinωt−Kx. Then the equation of pressure wave propagating in the same medium is of the form
p=pm cosωt+Kx
p=pm sinωt-Kx
p=pm cosωt-Kx
p=pm sinωt+Kx
Displacement of particle of the medium and variation of pressure are 90o out of phase.