解
根据最大值最小值得:A=3
∴T=2π/w=(7π/12-π/12)×2=π
∵w>0
∴w=2
∵f(π/12)=3sin(π/12×2+φ)=3
∴π/6+φ=π/2+2kπ
∴φ=π/3+2kπ
∵-π