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函数f(x)=sinx减根号3cosx(x属于[负派,0])的单调递增区间是?急
人气:318 ℃ 时间:2019-08-19 04:08:37
解答

f(x)
=sinx-√3cosx
=2(sinx•1/2-cosx•√3/2)
=2sin(x-π/3)
由:-π/2+2kπ≤x-π/3≤π/2+2kπ
得:-π/6+2kπ≤x≤5π/6+2kπ
∵x∈[-π,0]
取交集,得:[-π/6,0]
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