cos(a+π/6)-sina=(3根号3)/5,则sin(π/6-a)=?

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cos(a+π/6)-sina=(3根号3)/5,则sin(π/6-a)=?
cos(a+π/6)-sina=(3根号3)/5,则sin(π/6-a)=?

cos(a+π/6)-sina=(3根号3)/5,则sin(π/6-a)=?
cos(a+π/6)-sina=(3√3)/5,
cosa cosπ/6-sinasinπ/6-sina=(3√3)/5,
√3/2 cosa-1/2sina-sina=(3√3)/5,
√3/2 cosa-3/2sina=(3√3)/5,
√3(1/2 cosa-√3/2sina) =(3√3)/5,
√3cos(a+π/3) =(3√3)/5,
cos(a+π/3) =3/5,
则sin[π/2-( a+π/3)] = cos(a+π/3) =3/5,
即sin(π/6-a)= =3/5