Nonlinear modifications in the refractive indices of quasicircular electromagnetic waves, propagating obliquely in a cold homogeneous magnetised plasma in the presence of the Corio lis force of rotation, have been theoretically investigated. Some interesting properties are found to occur, which depend on the gyrofrequency, rotational frequency and the amplitudes of the waves. The characteristic variations of the refractive indices of the left and right circularly polarised waves, for different values of the gyrofrequency and rotational frequency, are shown graphically. The stop-bands, which are located for both the waves in the presence of the Coriolis force, are discussed. The stability criteria of the waves interacting with a plasma are also investigated. The results obtained are more general than those reported previously.