sin(a+B)sin(B-y)-cos(a-B)cos(y-B) 化简

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sin(a+B)sin(B-y)-cos(a-B)cos(y-B) 化简

sin(a+B)sin(B-y)-cos(a+B)cos(y-B)
=sin(a+B)sin(B-y)-cos(a+B)cos(B-y)
=-cos(a+B+B-y)
=-cos(a+2B-y)

sin(a+B)sin(B-y)-cos(a+B)cos(y-B)
=sin(a+B)sin(B-y)-cos(a+B)cos(B-y)
=-[cos(a+B)cos(B-y)-sin(a+B)sin(B-y)]
=-[cos(a+B)+(B-y)]
=-cos(a+2B-y)