sin(x+105°)cos(x-15°)-cos(x+105°)sin求化简 sin(x+105°)cos(x-15°)-cos(x+105°)sin(x-15°)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 09:11:18
sin(x+105°)cos(x-15°)-cos(x+105°)sin求化简 sin(x+105°)cos(x-15°)-cos(x+105°)sin(x-15°)

sin(x+105°)cos(x-15°)-cos(x+105°)sin求化简 sin(x+105°)cos(x-15°)-cos(x+105°)sin(x-15°)
sin(x+105°)cos(x-15°)-cos(x+105°)sin求化简
sin(x+105°)cos(x-15°)-cos(x+105°)sin(x-15°)

sin(x+105°)cos(x-15°)-cos(x+105°)sin求化简 sin(x+105°)cos(x-15°)-cos(x+105°)sin(x-15°)
根据公式sin(a-b)=sinacosb-cosasinb
所以原式=sin(x+105-x+15)=sin120°=√3/2

利用公式sin(a+b)=sina cosb + cosa sinb
原式等于sin(x-15+x+15)=sin2x
最后答案应该等于1/2

无语,你题目不完整,sin后面居然空白

cos(105度‐×)

是不是sin后面还有一个(x-15°)如果是的话,答案是sin60°

打开哈克挥发分客户发挥空间哈的空间哈弗可好看