Question

已知函数f1(x)=Asin(ωx+φ)(A>0,ω>0,|φ|

Answer 1

已知函数f1(x)=Asin(ωx+φ)(A>0,ω>0,|φ|0,ω>0,|φ|T=2π==>ω=2π/(2π)=1

∴f1(x)=Asin(x+φ)==>f1(-π/12)=Asin(-π/12+φ)=0==>-π/12+φ=0==>φ=π/12

∴f1(x)=Asin(x+π/12)==>f1(0)=Asin(0+π/12)=1==>A=1/sin(π/12)=3.8637

∴f1(x)=3.8637sin(x+π/12)