已知函数f(x)=cos²x+√3sinxcosx-1/2.已知cos(β-α)=4/5,cos(β+α)=-3/5,0

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已知函数f(x)=cos²x+√3sinxcosx-1/2.已知cos(β-α)=4/5,cos(β+α)=-3/5,0

f(x)=cos²x+√3sinxcosx-1/2
=1/2cos(2x)+√3/2sin(2x)
=sin(2x+π/6)
cos(β-α)=4/5,cos(β+α)=-3/5,∵0