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f(x)=(sinx)^2-[sin(x-π/6)]^2
f(x)=(sinx)^2-[(√3/2)*sinx-(1/2)cosx]^2
f(x)=(sinx)^2-[(3/4)(sinx)^2-(√3/2)sinxcosx+(1/4)(cosx)^2]
f(x)=(1/4)(sinx)^2+(√3/2)sinxcosx-(1/4)(cosx)^2
f(x)=(-1/4)cos2x+(√3/4)sin2x
f(x)=(1/2)[(√3/2)sin2x-(1/2)cos2x]
f(x)=(1/2)sin(2x-π/6)
f(x)=(sinx)^2-[(√3/2)*sinx-(1/2)cosx]^2
f(x)=(sinx)^2-[(3/4)(sinx)^2-(√3/2)sinxcosx+(1/4)(cosx)^2]
f(x)=(1/4)(sinx)^2+(√3/2)sinxcosx-(1/4)(cosx)^2
f(x)=(-1/4)cos2x+(√3/4)sin2x
f(x)=(1/2)[(√3/2)sin2x-(1/2)cos2x]
f(x)=(1/2)sin(2x-π/6)
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