已知:cos(∏|6-a)=2|3则sin(a-2|3∏)=

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已知:cos(∏|6-a)=2|3则sin(a-2|3∏)=
已知:cos(∏|6-a)=2|3则sin(a-2|3∏)=

已知:cos(∏|6-a)=2|3则sin(a-2|3∏)=
cos(π/6-a)=2/3
sin(a-2π/3)=cos(π/2-(a-2π/3)=cos(π/2-a+2π/3)=cos(7π/6-a)=cos(π/2+π/6-a)=-cos(π/6-a)=-2/3