函数fx=Asin(wx+ω (A>0,ω>0,-π/2

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 21:35:59
函数fx=Asin(wx+ω (A>0,ω>0,-π/2
x){ھ iřy;4 tw F6IED/!4 ZN\l';v<obkTc Rhf WcKHBe';;@Jr[C =OvLy6O y6* &4!ЦGPO[>7],*5>ߠ rN(YH2(2[AQ\g 

函数fx=Asin(wx+ω (A>0,ω>0,-π/2
函数fx=Asin(wx+ω (A>0,ω>0,-π/2

函数fx=Asin(wx+ω (A>0,ω>0,-π/2
f(x)的周期为1/4即T/4=2π/3-π/6=π/2
∴T=2π,那么2π/w=2π,w=1
而且最大值为1,故A=1
∴f(x)=sin(x+φ)
将(π/6,1)代入得,
π/6+φ=2kπ+π/2,k∈Z
∴φ=2kπ+π/3,k∈Z
∵-π/2