f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/09 03:58:44
f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)f(x)=sin(2
f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)
f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)
f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)
解f(x)=sin(2wx)+√3cos(2wx)
=2[1/2sin(2wx)+√3/2cos(2wx)]
=2[cos60°sin(2wx)+sin60°cos(2wx)]
=2sin(2wx+π/3)
辅助角公式:acosx+bsinx=√(a^2+b^2)sin(x+arctan(a/b))
f(x)=sin(2wx)+√3cos(2wx)=√(1^2+√3^2)sin(x+arctan(1/√3))=f(x)=sin(2wx+π/3)
题目写错了
原 f(x)=sin(2wx)+√3cos(2wx)
化简应为 f(x)=2sin(2wx+π/3)
这个是用特殊公式
若有函数 f(x)=asinα+bcosα
则化简后函数为 f(x)=√(a^2+b^2)sin(α+β) [tanβ=b/a]
f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)
已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0
已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0
已知函数f x=√3sin(wx+φ/2)*cos(wx+φ/2)+sin^2(wx+φ/2)(w>0,0
化简f(x)=2又根号3sin(wx/2)cos(wx/2)-2sin^2wx/2
请问f(x)=根号3sin(wx+φ)-cos(wx+φ)=2Sin(wx+φ-π/6)如何化简?
函数f(x)=√3sin^(wx/2)+sin(wx/2)cos(wx/2) (w>0)的周期为π,求w的值和函数f(x)的单调递增区间
求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0
已知函数为f(x)=√3sin(wx+φ)-cos(wx+φ)(w>0,0
[非常急]已知函数f(x)=根号3sin(wx+φ)-cos(wx+φ)(0
已知函数f(x)=根号3sin(wx+φ)-cos(wx+φ)(0
求教:已知f(x)=根号3*sin(wx+a)-cos(wx+a) (0
f(x)=根号3sin(wx+q)-cos(wx+q),(w>0,0
已知函数f(x)=根号3sin(wx+a)-cos(wx+a)(0
已知函数f(x)=根号3sin(wx+φ)-cos(wx+φ)(0
已知函数f(x)=根号3sin(wx+fai)-cos(wx+fai)(0