The authors theoretically demonstrate two simple magneto-optical measurements which can be used to confirm the existence of Rashba terms in two-dimensional semiconductors even in samples of suboptimal quality, where the transition linewidths are comparable to, or larger than, the Landau-level splitting. The first suggested technique is magnetic circular dichroism (MCD), where a giant MCD signal should be observed at the band edge in the presence of Rashba terms. The second one is the comparison of the diamagnetic shift, measured in absorption, with that in photoluminescence which results from the dispersion minimum of the Rashba exciton.