x=5π/12时
Asin(ωx+φ)=0
∴b=2
∴A=3
1/4T=5π/12-π/6=π/4
∴T=π
∴T=2π/w=π
∴w=2
f(x)=3sin(2x+φ)+2
sin(2*π/6+φ)=1
π/3+φ=π/2+2kπ,k∈Z
φ=π/6+2kπ,k∈Z
∵0