cos20°×cos40°×cos80°=______
问题描述:
cos20°×cos40°×cos80°=______
答
cos20°cos40°cos80°
=8sin20°cos20°cos40°cos80°/(8sin20°)
=4sin40°cos40°cos80°/(8sin20°)
=2sin80°cos80°/(8sin20°)
=sin160°/(8sin20°)
=sin20°/(8sin20°)
=1/8