cos20°-cos40°-cos80°=_．
问题描述：
cos20°-cos40°-cos80°=______．
答
cos20°-cos40°-cos80°
=cos20°-cos（60°-20°）-cos（60°+20°）
=cos20°-（cos60°cos20°+sin60°sin20°）-（cos60°cos20°-sin60°sin20°）
=cos20°-cos60°cos20°-sin60°sin20°-cos60°cos20°+sin60°sin20°
=cos20°-2cos60°cos20°
=cos20°-cos20°
=0．
故答案为：0