已知函数f(x)=2sin(2x-TT/3)求f(x)的单调递增区间
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![已知函数f(x)=2sin(2x-TT/3)求f(x)的单调递增区间](/uploads/image/z/3009754-10-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2sin%282x-TT%2F3%29%E6%B1%82f%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4)
已知函数f(x)=2sin(2x-TT/3)求f(x)的单调递增区间
已知函数f(x)=2sin(2x-TT/3)求f(x)的单调递增区间
已知函数f(x)=2sin(2x-TT/3)求f(x)的单调递增区间
因为f(x)=sin(x)的单调增区间为-π/2+2k π< x < π/2+2k π,所以f(x) = 2sin(2x-π/3)的调单增区间为:
-π/2 +2k π
因为f(x)=sin(x)的单调增区间为-π/2 < x < π/2,所以f(x) = 2sin(2x-π/3)的调单增区间为:
-π/2 <2 x-π/3<π/2 解得结果为: -π/12 < x < -5π/12