∵sin2αsin2β=3，∴sin[(α+β)+(α−β)]sin[(α+β)−(α−β)]=sin(α+β)cos(α−β)+cos(α+β)sin(α−β)sin(α+β)cos(α−β)−cos(α+β)sin(α−β)=3弦化切后可得：tan(α+β)+tan(α−β)tan(α+β)...