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问题: (sina/2-cosa/2)(sina/2 cosa/2)(1-tga*ctga/2)=

解答:

[sin(a/2)-cos(a/2)][(sin(a/2) +cos(a/2)][1-tgactg(a/2)]
={[sin(a/2)]^2-[cos(a/2)]^2}[1-tgactg(a/2)]
=-cosa[1-tgactg(a/2)]
=-cosa+sinactg(a/2)
=-cosa+sina[(1+cosa)/sina]
=-cosa+1+cosa
=1