The recent demonstration of cooling of a macroscopic silicon nitride membrane
based on dissipative coupling makes dissipatively coupled optomechanical
systems as promising candidates for squeezing. We theoretically show that such
a system in a cavity on resonance can yield good squeezing which is comparable
to that produced by dispersive coupling. We also report the squeezing resulting
from the combined effects of dispersive and dissipative couplings and thus the
device can be operated in one regime or the other. We derive the maximal
frequency and quadrature angles to observe squeezing for given optomechanical
coupling strengths. We also discuss the effects of temperature on squeezing