函数f(x)=根号3cos(3x-θ)-sin(3x-θ)是奇函数,则θ=?
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函数f(x)=根号3cos(3x-θ)-sin(3x-θ)是奇函数,则θ=?
函数f(x)=根号3cos(3x-θ)-sin(3x-θ)是奇函数,则θ=?
函数f(x)=根号3cos(3x-θ)-sin(3x-θ)是奇函数,则θ=?
f(x)= √3cos(3x-θ)-sin(3x-θ)
=2[√3/2 cos(3x-θ)-1/2sin(3x-θ)]
=2[sin(π/3) cos(3x-θ)-cos(π/3)sin(3x-θ)]
=2sin(π/3-3x+θ)
∵f(x)是奇函数
∴π/3+θ=kπ,θ=kπ-π/3(k∈Z)