化简:sin(x-π/3)-cos(x+π/6)+根号3cosx,

化简:sin(x-π/3)-cos(x+π/6)+根号3cosx,
化简:sin(x-π/3)-cos(x+π/6)+根号3cosx,

化简:sin(x-π/3)-cos(x+π/6)+根号3cosx,
=sinXcosπ/3-cosxsinπ/3-cosxcosπ/6+sinxsinπ/6+√3cosx
=1/2sinx-√3/2cosx-√3/2cosx+1/2sinx+√3cosx
=sinx