求证sinx^2+sinp^2-sinx^2sinp^2+cosx^2cosp^2=1
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sin^2x+sin^2p-sin^2xsin^2p+cos^2xcos^2p
=sin^2x(1-sin^2p)+sin^2p+cos^2xcos^2p
=sin^2xcos^2p+sin^2p+cos^2xcos^2p
=cos^2p(sin^2x+cos^2x)+sin^2p
=cos^2p+sin^2p
=1
=sin^2x(1-sin^2p)+sin^2p+cos^2xcos^2p
=sin^2xcos^2p+sin^2p+cos^2xcos^2p
=cos^2p(sin^2x+cos^2x)+sin^2p
=cos^2p+sin^2p
=1
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