化简:sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)

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化简:sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)
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化简:sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)
化简:sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)

化简:sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)
sin(α+β)cos(γ-β)-cos(β+α)sin(β-γ)
=sin(α+β)cos(γ-β)+cos(α+β)sin(γ-β)
=sin(α+β+γ-β)
=sin(α+γ)
=sinαcosγ+cosαsinγ