cos2B-cos2A=2(sinCsinC+sinCsinB)求A
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cos2B-cos2A=2sinC(sinC+sinB)
-2sin(B+A)sin(B-A)=2sinC(sinC+sinB)
-2sin(π-C)sin(B-A)=2sinC(sinC+sinB)
-2sinCsin(B-A)=2sinC(sinC+sinB)
sin(A-B)=sinC+sinB
sin(A-B)=sin(A+B)+sinB
sin(A-B)-sin(A+B)=sinB
-2cosAsinB=sinB
cosA=-1/2
A=120°
-2sin(B+A)sin(B-A)=2sinC(sinC+sinB)
-2sin(π-C)sin(B-A)=2sinC(sinC+sinB)
-2sinCsin(B-A)=2sinC(sinC+sinB)
sin(A-B)=sinC+sinB
sin(A-B)=sin(A+B)+sinB
sin(A-B)-sin(A+B)=sinB
-2cosAsinB=sinB
cosA=-1/2
A=120°
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