化简f(x)=根号3sinxcosx-sin^2x,x∈R

问题描述:

化简f(x)=根号3sinxcosx-sin^2x,x∈R

f(x)=√3/2*sin2x-(1-cos2x)/2
=sin2xcosπ/6+cos2xsinπ/6-1/2
=sin(2x-π/6)-1/2