√3cosπ/12-sinπ/12=

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√3cosπ/12-sinπ/12=

√3cosπ/12-sinπ/12=
√3cosπ/12-sinπ/12=

√3cosπ/12-sinπ/12=
√3cosπ/12-sinπ/12
=2*[cos(π/12)*(√3/2)-sin(π/12)*(1/2)]
=2*[cos(π/12)*cos(π/6)-sin(π/12)*(sin(π/6)]
=2*cos(π/12 +π/6) (两角和的余弦公式)
=2*cos(π/4)
=√2