求sin220°+cos250°+sin20°cos50°的值.
问题描述:
求sin220°+cos250°+sin20°cos50°的值.
答
原式=
(1−cos40°)+1 2
(1+cos100°)+sin20°cos50°1 2
=1+
(cos100°−cos40°)+1 2
(sin70°−sin30°)1 2
=
−sin70°sin30°+3 4
sin70°=1 2
3 4