求证:cosx+根3sinx=2cos(x-π/3)

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求证:cosx+根3sinx=2cos(x-π/3)求证:cosx+根3sinx=2cos(x-π/3)求证:cosx+根3sinx=2cos(x-π/3)左边=2(cosx*1/2+sinx*√3/

求证:cosx+根3sinx=2cos(x-π/3)
求证:cosx+根3sinx=2cos(x-π/3)

求证:cosx+根3sinx=2cos(x-π/3)
左边=2(cosx*1/2+sinx*√3/2)
=2(cosxcosπ/3+sinxsinπ/3)
=2cos(x-π/3)=右边
命题得证