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求解cos100 cos140 cos160的值
人气:344 ℃ 时间:2020-10-02 00:39:54
解答
cos100 cos140 cos160
=cos(180-80)cos(180-40)cos(180-20)
=-cos80(-cos40)(-cos20)
=-cos20cos40cos80
=-(2sin20cos20/2sin20)cos40cos80
=-(2sin40cos40/4sin20)cos80
=-2sin80cos80/8sin20
=-sin160/8sin20
=-sin20/8sin20
=-1/8.
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