若sin(π/6-a)cos(π/3+b)+sin(π/3+a)cos(π/6-b)=12/13,sin(a+b)=-3
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若sin(π/6-a)cos(π/3+b)+sin(π/3+a)cos(π/6-b)=12/13,sin(a+b)=-3/5,且π/2
sin(π/6-a)cos(π/3+b)+sin(π/3+a)cos(π/6-b)=12/13
cos[π/2-(π/6-a)]sin[π/2-(π/3+b)]+sin(π/3+a)cos(π/6-b)=12/13
cos(π/3+a)sin(π/6-b)+sin(π/3+a)cos(π/6-b)=12/13
sin[(π/3+a))+(π/6-b)]=12/13
sin(a-b+π/2)=12/13
cos(a-b)=12/13
π/2
cos[π/2-(π/6-a)]sin[π/2-(π/3+b)]+sin(π/3+a)cos(π/6-b)=12/13
cos(π/3+a)sin(π/6-b)+sin(π/3+a)cos(π/6-b)=12/13
sin[(π/3+a))+(π/6-b)]=12/13
sin(a-b+π/2)=12/13
cos(a-b)=12/13
π/2
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