已知函数f(x)=根3cos2x-2sin^2(π/4+x)+1 x属于π/6 π/2,求f(x)的单调递增区间

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已知函数f(x)=根3cos2x-2sin^2(π/4+x)+1 x属于π/6 π/2,求f(x)的单调递增区间

已知函数f(x)=根3cos2x-2sin^2(π/4+x)+1 x属于π/6 π/2,求f(x)的单调递增区间
已知函数f(x)=根3cos2x-2sin^2(π/4+x)+1 x属于π/6 π/2,求f(x)的单调递增区间

已知函数f(x)=根3cos2x-2sin^2(π/4+x)+1 x属于π/6 π/2,求f(x)的单调递增区间
f(x) = sqrt(3) cos2x - (1-cos(pi/2 + 2x)) + 1 = sqrt(3)cos2x -sin2x = 2sin(pi/3 - 2x)
x = 5pi/12
pi/3 - 2x = -pi/2
f(x)最小
递增区间5pi/12 < x < pi/2