已知cos(X-π/6)=3/5,π/6

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已知cos(X-π/6)=3/5,π/6

π/6

π/60x-π/6为锐角
sin(x-π/6)=4/5
cosx=cos(x-π/6+π/6)=cos(x-π/6)cos(π/6)-sin(x-π/6)sin(π/6)=3/5×√3/2-4/5×1/2=(3√3-4)/10

(3根号3-4)/10