f(x)=4sin(x+π/6)cosx-1=4(sinxcosπ/6+cosxsinπ/6)cosx-1=4(√3/2 sinx+1/2 cosx)cosx-1=2√3sinxcosx+2cos^2 x-1=√3*(2sinxcosx)+(2cos^2 x-1)=√3sin2x+cos2x=2(√3/2 sin2x+1/2cos2x)=2(sin2xcosπ/6+cos2xsi...