函数y=sinx-根号3cosx的单调递增区间为?

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函数y=sinx-根号3cosx的单调递增区间为?
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函数y=sinx-根号3cosx的单调递增区间为?
函数y=sinx-根号3cosx的单调递增区间为?

函数y=sinx-根号3cosx的单调递增区间为?
f(x)=sinx-√3cosx
=2[(1/2)*sinx-(√3/2)*cosx]
=2(sinx * cos(π/3)-cosx* sin(π/3))
=2sin(x-π/3)
2kπ-π/2≤x-π/3≤2kπ+π/2
2kπ-π/6≤x≤2kπ+5π/6
增区间【2kπ-π/6,2kπ+5π/6】k∈Z