若函数f(x)=2sin^2x-2根号3sinxsin(X-派\2)能使得不等式|f(X)-m|

sin（x-π/2）=sin(x+3π/2)=-cosx2sin²x=1-cos2x2sinxcosx =sin2xf（x）=2sin²x-2√3 sinxsin（x-π/2）=1-cos2x+2√3 sinxcosx=1-cos2x+√3sin2x=1+2sin(2x-π/6)不等式|f(X)-m|