85.9已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是A[-π,-5π/6]B[-5π/6,-π/6]C[-π/3,0]D[-π/6,0]

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85.9已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是A[-π,-5π/6]B[-5π/6,-π/6]C[-π/3,0]D[-π/6,0]

85.9已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是A[-π,-5π/6]B[-5π/6,-π/6]C[-π/3,0]D[-π/6,0]
85.9已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是
已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是
A[-π,-5π/6]
B[-5π/6,-π/6]
C[-π/3,0]
D[-π/6,0]

85.9已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是已知函数f(x)=sinx-√ 3cosx(x∈[-π,0])的单调递增区间是A[-π,-5π/6]B[-5π/6,-π/6]C[-π/3,0]D[-π/6,0]
f(x)=sinx—√3cosx
=2(1/2sinx-√3/2cosx)
=2sin(x-π/3)
x-π/3∈[—4π/3,-π/3]
x-π/3∈[—π/2,-π/3]时递增;
则x∈[—π/6,0]是递增区间

D

f(x)=sinx—√3cosx
=2(1/2sinx-√3/2cosx)
=2sin(x-∏/3)
则有x∈[—/π6,0]是递增区间。
单调递增区间是D[-π/6,0]