证明sin^2atan^2a=tan^2a-sin^2a
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证明sin^2atan^2a=tan^2a-sin^2a证明sin^2atan^2a=tan^2a-sin^2a证明sin^2atan^2a=tan^2a-sin^2a左边=sin^2atan^2a=
证明sin^2atan^2a=tan^2a-sin^2a
证明sin^2atan^2a=tan^2a-sin^2a
证明sin^2atan^2a=tan^2a-sin^2a
左边=sin^2atan^2a
=sin²a(sin²a/cos²a)
=sin^4a/cos²a
右边=sin²a/cos²a-sin²a
=(sin²a-sin²acos²a)/cos²a
=sin²a(1-cos²a)/cos²a
=sin^4a/cos²a=左边
得证.
sin^2atan^2a
=(1-cos^2a)tan^2a
=tan^2a-cos^2atan^2a
=tan^2a-(cosatana)^2
=tan^2a-sin^2a
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