tan^2α=2tan^2β+1sin^2α/cos^2α=2sin^2β/cos^2β+1去分母得：sin^2αcos^2β=2sin^2βcos^2α+cos^2αcos^2βsin^2α(1-sin^2β)=2sin^2β(1-sin^2α)+(1-sin^2α)(1-sin^2β)化简得：sin^2贝塔=2sin^2阿尔法-1...