已知函数f(x)=sin(ωx+π/6)+sin(ωx-π/6)-2cosωx/2,x属于R(ω>0)(1)求f(x)的值域(2)若函数y=f(x)的图像与直线y=-1的两个相邻交点间距离为π/2,求f(x)的单调区间
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![已知函数f(x)=sin(ωx+π/6)+sin(ωx-π/6)-2cosωx/2,x属于R(ω>0)(1)求f(x)的值域(2)若函数y=f(x)的图像与直线y=-1的两个相邻交点间距离为π/2,求f(x)的单调区间](/uploads/image/z/3594296-56-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dsin%28%CF%89x%2B%CF%80%2F6%29%2Bsin%28%CF%89x-%CF%80%2F6%29-2cos%CF%89x%2F2%2Cx%E5%B1%9E%E4%BA%8ER%EF%BC%88%CF%89%3E0%EF%BC%89%EF%BC%881%EF%BC%89%E6%B1%82f%28x%29%E7%9A%84%E5%80%BC%E5%9F%9F%EF%BC%882%EF%BC%89%E8%8B%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3D-1%E7%9A%84%E4%B8%A4%E4%B8%AA%E7%9B%B8%E9%82%BB%E4%BA%A4%E7%82%B9%E9%97%B4%E8%B7%9D%E7%A6%BB%E4%B8%BA%CF%80%2F2%2C%E6%B1%82f%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4)
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已知函数f(x)=sin(ωx+π/6)+sin(ωx-π/6)-2cosωx/2,x属于R(ω>0)(1)求f(x)的值域(2)若函数y=f(x)的图像与直线y=-1的两个相邻交点间距离为π/2,求f(x)的单调区间
已知函数f(x)=sin(ωx+π/6)+sin(ωx-π/6)-2cosωx/2,x属于R(ω>0)
(1)求f(x)的值域
(2)若函数y=f(x)的图像与直线y=-1的两个相邻交点间距离为π/2,求f(x)的单调区间
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