已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=...已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=根号2.(1)求w,θ的值,(2)若f(α/2)=-6/5,求cos2α
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![已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=...已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=根号2.(1)求w,θ的值,(2)若f(α/2)=-6/5,求cos2α](/uploads/image/z/2834647-7-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2sin%28wx%2B%CE%B8%29%EF%BC%88w%EF%BC%9E0%2C0%EF%BC%9C%CE%B8%EF%BC%9C%CF%80%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%2C%E4%B8%94f%EF%BC%88%CF%80%2F4%EF%BC%89%3D...%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2sin%28wx%2B%CE%B8%29%EF%BC%88w%EF%BC%9E0%2C0%EF%BC%9C%CE%B8%EF%BC%9C%CF%80%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%2C%E4%B8%94f%EF%BC%88%CF%80%2F4%EF%BC%89%3D%E6%A0%B9%E5%8F%B72.%EF%BC%881%EF%BC%89%E6%B1%82w%2C%CE%B8%E7%9A%84%E5%80%BC%2C%EF%BC%882%EF%BC%89%E8%8B%A5f%EF%BC%88%CE%B1%2F2%EF%BC%89%3D-6%2F5%2C%E6%B1%82cos2%CE%B1)
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已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=...已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=根号2.(1)求w,θ的值,(2)若f(α/2)=-6/5,求cos2α
已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=...
已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=根号2.(1)求w,θ的值,(2)若f(α/2)=-6/5,求cos2α的值
已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=...已知函数f(x)=2sin(wx+θ)(w>0,0<θ<π)的最小正周期为π,且f(π/4)=根号2.(1)求w,θ的值,(2)若f(α/2)=-6/5,求cos2α
(1)T=2π/w=π,所以w=2
由 f(π/4)=√2 得2sin(π/2+θ)=√2,
,cosθ=√2/2 ,θ=π/4
(2)若f(α/2)=-6/5,得sin(α+π/4)=,-3/5,
cos2(α+π/4)=1-2sin²(α+π/4)=7/25
cos(2α+π/2)=7/25
sin2α=-7/25
cos2α=±24/25
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