化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β

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化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β化简:sin^2a+sin^2β

化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β
化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β

化简:sin^2a+sin^2β-sin^2asin^2β+cos^2acos^2β
原式=sin^2a+sin^2β-(1-cos^2a)sin^2β+cos^2acos^2β
=sin^2a+cos^2asin^2β+cos^2acos^2β
=sin^2a+cos^2a(sin^2β+cos^2β)
=sin^2a+cos^2a
=1