化简函数f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,x∈R ^.^

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 19:04:08
化简函数f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,x∈R ^.^
x){3{MݐQi[Qoc1c|AH$}nNţ 88"} tPj;1: ኴA5Yh

化简函数f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,x∈R ^.^
化简函数f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,x∈R ^.^

化简函数f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,x∈R ^.^
f(x)=sin(x/2)-√3sin(3π/2+x/2)+α,
=sin(x/2)+√3cos(x/2)+α
=2[sin(x/2)cosπ/3+cos(x/2)sinπ/3]+α,
=2sin(π/3+x/2)+α

f(x)=2sin[(x/2)+(π/3)]+a.

=sin(x/2)-v3cos(-m-x/2)=sin(x/2)+v3cos(x/2)=2sin(x/2+m/3)
OK