函数y=cos(x/2-π/6)-sin(x/2-π/6)的单调递增区间是?

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函数y=cos(x/2-π/6)-sin(x/2-π/6)的单调递增区间是?
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函数y=cos(x/2-π/6)-sin(x/2-π/6)的单调递增区间是?
函数y=cos(x/2-π/6)-sin(x/2-π/6)的单调递增区间是?

函数y=cos(x/2-π/6)-sin(x/2-π/6)的单调递增区间是?
y=cos(x/2-pi/6)-sin(x/2-pi/6)
=2^0.5(cos(pi/4)cos(x/2-pi/6)-sin(pi/4)sin(x/2-pi/6))
=2^0.5(cos(x/2-pi/6+pi/4))
=2^0.5cos(x/2+pi/12)
当(2k-1)pi