f(x)=√3cos(3x-θ)-sin(3x-θ)是奇函数,则θ等于( )A.kπB.kπ + π/6C.kπ + π/3D.kπ - π/3为什么我算出来的是f(x)=-2sin[3x - (π/3 + θ)]π/3 + θ=周期/2π/3 + θ=kπ/3θ = kπ/3 - π/3...感激不尽啊
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![f(x)=√3cos(3x-θ)-sin(3x-θ)是奇函数,则θ等于( )A.kπB.kπ + π/6C.kπ + π/3D.kπ - π/3为什么我算出来的是f(x)=-2sin[3x - (π/3 + θ)]π/3 + θ=周期/2π/3 + θ=kπ/3θ = kπ/3 - π/3...感激不尽啊](/uploads/image/z/3757223-47-3.jpg?t=f%28x%29%3D%E2%88%9A3cos%283x-%CE%B8%29-sin%283x-%CE%B8%29%E6%98%AF%E5%A5%87%E5%87%BD%E6%95%B0%2C%E5%88%99%CE%B8%E7%AD%89%E4%BA%8E%EF%BC%88+%EF%BC%89A.k%CF%80B.k%CF%80+%2B+%CF%80%2F6C.k%CF%80+%2B+%CF%80%2F3D.k%CF%80+-+%CF%80%2F3%E4%B8%BA%E4%BB%80%E4%B9%88%E6%88%91%E7%AE%97%E5%87%BA%E6%9D%A5%E7%9A%84%E6%98%AFf%28x%29%3D-2sin%5B3x+-+%EF%BC%88%CF%80%2F3+%2B+%CE%B8%EF%BC%89%5D%CF%80%2F3+%2B+%CE%B8%3D%E5%91%A8%E6%9C%9F%2F2%CF%80%2F3+%2B+%CE%B8%3Dk%CF%80%2F3%CE%B8+%3D+k%CF%80%2F3+-+%CF%80%2F3...%E6%84%9F%E6%BF%80%E4%B8%8D%E5%B0%BD%E5%95%8A)
f(x)=√3cos(3x-θ)-sin(3x-θ)是奇函数,则θ等于( )A.kπB.kπ + π/6C.kπ + π/3D.kπ - π/3为什么我算出来的是f(x)=-2sin[3x - (π/3 + θ)]π/3 + θ=周期/2π/3 + θ=kπ/3θ = kπ/3 - π/3...感激不尽啊
f(x)=√3cos(3x-θ)-sin(3x-θ)是奇函数,则θ等于( )
A.kπ
B.kπ + π/6
C.kπ + π/3
D.kπ - π/3
为什么我算出来的是f(x)=-2sin[3x - (π/3 + θ)]
π/3 + θ=周期/2
π/3 + θ=kπ/3
θ = kπ/3 - π/3
...
感激不尽啊
f(x)=√3cos(3x-θ)-sin(3x-θ)是奇函数,则θ等于( )A.kπB.kπ + π/6C.kπ + π/3D.kπ - π/3为什么我算出来的是f(x)=-2sin[3x - (π/3 + θ)]π/3 + θ=周期/2π/3 + θ=kπ/3θ = kπ/3 - π/3...感激不尽啊
f(-x)=√3cos(-3x-a)-sin(-3x-a)
=√3cos(3x+a)+sin(3x+a)
=2sin(π/3+3x+a)
-f(x)=-[√3cos(3x-a)-sin(3x-a)]
=-2sin(π/3-3x+a)
=2sin(-π/3+3x-a)
则要该函数是奇函数,f(-x)=-f(x)
2sin(π/3+3x+a)=2sin(-π/3+3x-a)
则π/3+3x+a=2kπ-π/3+3x-a,k∈整数
a=kπ-π/3,k∈整数
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