求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0

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求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0

求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0
求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0

求已知函数f(x)=根号3sin(wx+坏塔)-cos(wx+坏塔)(0
f(x)=2[sin(wx+β)cosπ/6-cos(wx+β)sinπ/6]
=2sin(wx+β-π/6)
相邻对称轴距离是半个周期
所以T=π
2π/w=π
w=2
偶函数则x=0是对称轴,所以x=0
wx+β-π/6=kπ+π/2
β=2π/3
所以f(π/8)=√2