计算1-sin^2acos^2β+cos^2αsin^2β

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计算1-sin^2acos^2β+cos^2αsin^2β计算1-sin^2acos^2β+cos^2αsin^2β计算1-sin^2acos^2β+cos^2αsin^2β1-sin^2acos^2

计算1-sin^2acos^2β+cos^2αsin^2β
计算1-sin^2acos^2β+cos^2αsin^2β

计算1-sin^2acos^2β+cos^2αsin^2β
1-sin^2acos^2β+cos^2αsin^2β =1+cos^2αsin^2β -sin^2acos^2β=1+(cos a*sin β)^2-(
sin a*cos β)^2=1+(cos a*sin β+sin a*cos β)(cos a*sin β-sin a*cos β)
=1+sin (a+β)*sin (β-a) (利用正弦加减法公式)
这个好像不能再化简了!

(cosα)^2+(sinβ)^2