还想问你一道题目!化简 sin^2α+sin^2β-sin^2αcos^2β-sin^2αsin^2β
问题描述：
还想问你一道题目!化简 sin^2α+sin^2β-sin^2αcos^2β-sin^2αsin^2β
答
sin^2α+sin^2β-sin^2αcos^2β-sin^2αsin^2β
=sin^2α（1-cos^2β）+sin^2β（1-sin^2α）
=sin^2αsin^2β+sin^2βcos^2α
=sin^2β（sin^2α+cos^2α）
=sin^2β