已知函数f(x)=sin(x/2)+√3cos(x/2),x∈R化简f(x)=sin(x/2)+√3cos(x/2),x∈R

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 23:44:34

已知函数f(x)=sin(x/2)+√3cos(x/2),x∈R化简f(x)=sin(x/2)+√3cos(x/2),x∈R
已知函数f(x)=sin(x/2)+√3cos(x/2),x∈R
化简f(x)=sin(x/2)+√3cos(x/2),x∈R

已知函数f(x)=sin(x/2)+√3cos(x/2),x∈R化简f(x)=sin(x/2)+√3cos(x/2),x∈R
f(x)=sin(x/2)+√3cos(x/2)=2sin(x/2+pie/3),x∈R

f(x)
=sin(x/2)+√3cos(x/2)
=2[1/2sin(x/2)+√3/2cos(x/2)]
=2[cos(π/3)xin(x/2)+sin(π/3)cos(x/2)]
=2sin(x/2+π/3)