化简cos(pai/7)*cos(2pai/7)*cos(4pai/7)

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化简cos(pai/7)*cos(2pai/7)*cos(4pai/7)
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化简cos(pai/7)*cos(2pai/7)*cos(4pai/7)
化简cos(pai/7)*cos(2pai/7)*cos(4pai/7)

化简cos(pai/7)*cos(2pai/7)*cos(4pai/7)
cos(pai/7)*cos(2pai/7)*cos(4pai/7)
=8sin(pai/7)cos(pai/7)*cos(2pai/7)*cos(4pai/7)/8sin(pai/7)
=4sin2(pai/7)*cos(2pai/7)*cos(4pai/7)/8sin(pai/7)
=2sin(4pai/7)*cos(4pai/7)/8sin(pai/7)
=sin(8pai/7)/8sin(pai/7)
=-1/8