一抓基础,多练小题做到眼疾手快
1.(2015·全国卷Ⅰ改编)sin 20°cos 10°-cos 160°sin 10°=________.
解析:sin 20°cos 10°-cos 160°sin 10°=sin 20°cos 10°+cos 20°sin 10°=sin(20°+10°)=sin 30°=.
答案:
2.已知sin 2α=,则cos2=________.
解析:依题意得cos2=(cos α+sin α)2=(1+sin 2α)=.
答案:
3.已知sin=,-<α<0,则cos=________.