求证tan^2asin^2a=tan^2a-sin^2a求证tan^2 a 乘 sin^2 a=tan^2 a-sin^2 a

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求证tan^2asin^2a=tan^2a-sin^2a求证tan^2 a 乘 sin^2 a=tan^2 a-sin^2 a
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求证tan^2asin^2a=tan^2a-sin^2a求证tan^2 a 乘 sin^2 a=tan^2 a-sin^2 a
求证tan^2asin^2a=tan^2a-sin^2a
求证tan^2 a 乘 sin^2 a=tan^2 a-sin^2 a

求证tan^2asin^2a=tan^2a-sin^2a求证tan^2 a 乘 sin^2 a=tan^2 a-sin^2 a
tan^2 a 乘 sin^2 a
=sin^2 a/cos^2 a*sin^2 a
=sin^4 a/cos^2a
tan^2a-sin^2a
=sin^2 a/cos^2a-sin^2a
=(sin^2 a-sin^2 a*cos^2a)/cos^2a
=sin^2 a(1-cos^2 a)/cos^2a
=sin^4 a/cos^2a
故:tan^2asin^2a=tan^2a-sin^2a.