化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/09 00:00:50

化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),
化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),
化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),

化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),化简cos(α+30°)cos(α-30°)-sin(α+30°)sin(α+150°),
sin(α+150°)=sin(α+180°-30°)=-sin(α-30°)
原式=cos[(α+30°-(α-30°)]=cos60°=1/2