Cognitive radio networks (CRN) require efficient spectrum sensing (SS) to achieve high-spectrum-utilization by secondary users. For cooperative-CRN, current optimization approaches to SS have focused on maximizing the aggregate throughput while considering only a single-parameter-variable pertinent to sensing, notably the sensing-threshold or the sensing-duration, but not both. Other approaches, done in single CRN, have considered joint minimization of the average detection-time for finding a spectrum hole as a function of both parameters. In this work, we are going to maximize the aggregate throughput subject to constraints on the interference as a function of both parameters in cooperative-CRN.