化简sin^2α+sin^2β-sin^2αsin^2β+cos^2αcos^2β

只有最后1项中有cos,所以把cos化为sin

最后1项 cos^2αcos^2β=(1-sin^2α)*(1-sin^2β)=1-sin^2β-sin^2α+sin^2αsin^2β

代入原式,得:原式=1