1.cos 75°的值为________.
解析 cos 75°=cos(45°+30°)=cos 45°cos 30°-sin 45°sin 30°=·-·=.
答案
2.-cos 70°cos 20°+sin 110°sin 20°=________.
解析 原式=-cos 70°cos 20°+sin 70°sin 20°=-cos(70°+20°)=0.
答案 0
3.已知cos(α+β)=,cos(α-β)=,则cos αcos β=________.
解析 cos(α+β)+cos(α-β)=+,