已知函数y=Asin(wx+φ)(A>0,w>0,|φ|

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/05 14:48:35
已知函数y=Asin(wx+φ)(A>0,w>0,|φ|已知函数y=Asin(wx+φ)(A>0,w>0,|φ|已知函数y=Asin(wx+φ)(A>0,w>0,|φ|函数y=Asin(wx+φ)(A

已知函数y=Asin(wx+φ)(A>0,w>0,|φ|
已知函数y=Asin(wx+φ)(A>0,w>0,|φ|

已知函数y=Asin(wx+φ)(A>0,w>0,|φ|
函数y=Asin(wx+φ)(A>0,w>0,|φ|

y=2sin(2π/Tx+φ)=2sin(3x+φ)
将(0,根号2)代入,确定φ=45°=π/4
所以:

y=2sin(3x+π/4)

∵sin函数最小值为-1,
∴A·(-1)= -2
A = 2
由w = 2π/T 得 w = 2π/(2π/3) = 3
有y = 2sin(3x + φ)
将(0, √2)代入
y = 2sinφ = √2
又∵|φ|<=π/2
得 φ = π/4
∴解析式是y = 2sin(3x + π/4)