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6.sin(π/6-a)-cosa
=sin(π/6)cosa-cosπ/6sina-cosa
=(1/2)cosa-(根号3/2)sina-cosa
=-(1/2)cosa-(根号3/2)sina
=-[(1/2)cosa+(根号3/2)sina]
=-[cosπ/3cosa+sinπ/3sina]
=-cos(π/3-a)=1/3
cos(π/3-a)=-1/3
cos(2a+π/3)
=cos2acosπ/3-sin2asinπ/3
=(cos²a-sin²a)(1/2)-(2sinacosa)(根号3/2)
=sin(π/6)cosa-cosπ/6sina-cosa
=(1/2)cosa-(根号3/2)sina-cosa
=-(1/2)cosa-(根号3/2)sina
=-[(1/2)cosa+(根号3/2)sina]
=-[cosπ/3cosa+sinπ/3sina]
=-cos(π/3-a)=1/3
cos(π/3-a)=-1/3
cos(2a+π/3)
=cos2acosπ/3-sin2asinπ/3
=(cos²a-sin²a)(1/2)-(2sinacosa)(根号3/2)
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