Categories > trigonometry > Fundamental trigonometrical ratios and functions > If ${{\tan }^{2}}\alpha {{\tan }^{2}}\beta +{{\tan }^{2}}\beta {{\tan }^{2}}\gamma +{{\tan }^{2}}\gamma {{\tan }^{2}}\alpha +2{{\tan }^{2}}\alpha {{\tan }^{2}}\beta {{\tan }^{2}}\gamma =1,$then the value of ${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma $is