cos(x-π/6)=m,则cosx+cos(x-π/3)=_______

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cos(x-π/6)=m,则cosx+cos(x-π/3)=_______
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cos(x-π/6)=m,则cosx+cos(x-π/3)=_______
cos(x-π/6)=m,则cosx+cos(x-π/3)=_______

cos(x-π/6)=m,则cosx+cos(x-π/3)=_______
cos(x-π/6)
=cosxcosπ/6+sinxsinπ/6
=√3/2*cosx+1/2*sinx
=m
原式=cosx+cosxcosπ/3+sinxsinπ/3
=cosx+1/2*cosx+√3/2*sinx
=3/2*cosx+√3/2*sinx
=√3(√3/2*cosx+1/2*sinx)
=√3m