已知函数f(x)=-√3sin²x+sinxcosx 化简

问题描述:

已知函数f(x)=-√3sin²x+sinxcosx 化简

f(x)=-√3sin²x+sinxcosx
=-√3(1-cos2x)/2+1/2*sin2x
=√3/2*cos2x+1/2*sin2x-√3/2
=cos2xcosπ/6+sin2xsinπ/6-√3/2
=cos(2x-π/6)-√3/2