设α为锐角,则cos(α+π÷6)=3÷5,则sin(α-π÷12)=

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设α为锐角,则cos(α+π÷6)=3÷5,则sin(α-π÷12)=
设α为锐角,则cos(α+π÷6)=3÷5,则sin(α-π÷12)=

设α为锐角,则cos(α+π÷6)=3÷5,则sin(α-π÷12)=
cos(a+π/6)=3/5
sin(a+π/6)=4/5
sin(a-π/12)=sin[(a+π/6)-π/4]=sin(a+π/6)*cos(π/4)-cos(a+π/6)*sin(π/4)
=(4/5)*(√2/2)-(3/5)*(√2/2) =√2/10