A cavity-modified master equaion is derived for a coherently driven, V-type three-level atom coupled to a single-mode cavity in the bad-cavity limit. We show that population iversionin both the bare-and dressedstate bases may be achieved, originationg form the enhancementof the acom-cavity interaction when the caivty are analyzed in terms of the cavity-modifeed transition rates.The atomic fluorescence spectrum and probe absorption spectrum are also investigated, and it is found that the spectral profiles may be controlled by adjusting the cavity frequency. Peak suppression and line narrowing occure under the appropriate conditions.