根号3sinπ/12+cosπ/12
=2(根号3/2sinπ/12+1/2cosπ/12)
=2(sinπ/12cosπ/6+cosπ/12sinπ/6)
=2sin(π/12+π/6)
=2sinπ/4
=2*根号2/2
=根号2