f(x)=sin²x+根号3sinxcosx 化简

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f(x)=sin²x+根号3sinxcosx 化简

f(x)=sin²x+根号3sinxcosx 化简
f(x)=sin²x+根号3sinxcosx 化简

f(x)=sin²x+根号3sinxcosx 化简
f(x)=(1-cos2x)/2+√3/2*sin2x
=sin2x*cosπ/6-cos2xsinπ/6+1/2
=sin(2x-π/6)+1/2

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