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y=1-sin(2x)/sin(x)-cos(x)求T.最值
人气:472 ℃ 时间:2020-02-05 18:37:32
解答
y = { 1-sin(2x) } / { sin(x)-cos(x) }
= { (sinx)^2+(cosx)^2-2sinxcosx } / { sin(x)-cos(x) }
=(sinx - cosx)^2 / { sin(x)-cos(x) }
= sinx - cosx
= 根号2(sinxcosπ/4 - cosxsinπ/4)
= 根号2sin(x-π/4)
T=2π
最小值-根号2
最大值根号2
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