y=2sin^x+2√3sinxcosx-2化简它的周期,最值

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y=2sin^x+2√3sinxcosx-2化简它的周期,最值
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y=2sin^x+2√3sinxcosx-2化简它的周期,最值
y=2sin^x+2√3sinxcosx-2化简
它的周期,最值

y=2sin^x+2√3sinxcosx-2化简它的周期,最值
y=2(1-cos2x)/2-√3sin2x-2
=-cos2x-√3sin2x
=-2(√3/2sin2x+1/2cos2x)
=-2(sin2xcosπ/6+cos2xsinπ/6)
=-2sin(2x+π/6)
所以周期T=2π/2=π
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