2. (2023春•肥城市期中)已知cosα=−2sinα\cos \alpha =-2\sin \alphacosα=−2sinα,则sin2α+2cos2α4cos2α−4sin2α\frac{\sin 2\alpha +2\cos 2\alpha }{4\cos 2\alpha -4\sin 2\alpha }4cos2α−4sin2αsin2α+2cos2α的值是((( )))