-2sin(B-C)cos(B+C)=sin2C-sin2B怎么化的?

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-2sin(B-C)cos(B+C)=sin2C-sin2B怎么化的?
-2sin(B-C)cos(B+C)=sin2C-sin2B怎么化的?

-2sin(B-C)cos(B+C)=sin2C-sin2B怎么化的?
积化和差
sinαsinβ = [cos(α-β)-cos(α+β)] /2
cosαcosβ = [cos(α+β)+cos(α-β)]/2
sinαcosβ = [sin(α+β)+sin(α-β)]/2
cosαsinβ = [sin(α+β)-sin(α-β)]/2
-2sin(B-C)cos(B+C)
= -2[sin(B-C+B+C)+sin(B-C-B-C)]/2
=-[sin2B+sin(-2C)]
=-[sin2B-sin2C]
=sin2C-sin2B