We consider a cognitive radio network with a primary user (PU) and secondary users (SU), all equipped with multiple antennas to exploit the spatial characteristics for transmission. The SUs cooperate to estimate the beam of the PU's signal. Thus, the available space is divided into two parts. The first is occupied by the PU and should be restricted on the SUs, whereas the second is highly accessible by the SUs transmissions. The beam-estimation accuracy is studied based on two metrics, namely, the angular missed and false detection. The results showed that the accuracy increases for a Rician channel rather than a Rayleigh fading channel. Additionally, no matter how far the SUs' range of distribution is, a high number of SUs can accurately estimate the beam. A zero angular missed detection occurs for many SUs, with a tax of slightly increasing the angular false detection.