计算:cos13°•cos47°+sin13°•cos137°=_.
问题描述:
计算:cos13°•cos47°+sin13°•cos137°=______.
答
由题意得,cos13°•cos47°+sin13°•cos137°
=cos13°•cos47°+sin13°•cos(90°+47°)
=cos13°•cos47°-sin13°•sin47°
=cos(13°+47°)
=cos60°=
,1 2
故答案为:
.1 2