怎么化简!!
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√3cos(2x-2π/3)+2sin²(x-π/12)
=√3(cos2xcos2π/3+sin2xsin2π/3)+1-cos(2x-π/6)
=-√3/2cos2x+3/2sin2x-(cos2xcosπ/6+sin2xsinπ/6)+1
=-√3/2cos2x+3/2sin2x-cos2xcosπ/6-sin2xsinπ/6+1
=-√3/2cos2x+3/2sin2x-√3/2cos2x-1/2sin2x+1
=-√3cos2x+sin2x+1
=2(1/2sin2x-√3/2cos2x)+1
=2sin(2x-π/3)+1
=√3(cos2xcos2π/3+sin2xsin2π/3)+1-cos(2x-π/6)
=-√3/2cos2x+3/2sin2x-(cos2xcosπ/6+sin2xsinπ/6)+1
=-√3/2cos2x+3/2sin2x-cos2xcosπ/6-sin2xsinπ/6+1
=-√3/2cos2x+3/2sin2x-√3/2cos2x-1/2sin2x+1
=-√3cos2x+sin2x+1
=2(1/2sin2x-√3/2cos2x)+1
=2sin(2x-π/3)+1
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