化简sin x/(1-cos x)√[(tan x-sin x)(tan)]

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化简sin x/(1-cos x)√[(tan x-sin x)(tan)]
化简sin x/(1-cos x)√[(tan x-sin x)/(tan x+sin x)]

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tyu8888u 共回答了18个问题 | 采纳率83.3%
sin x/(1-cos x)√[(tan x-sin x)/(tan x+sin x)]
=sinx/(1-cosx)√[(1-cosx)/(1+cosx)
=sinx/(1-cosx)√[(1-cosx)^2/(1-(cosx)^2)]
=sinx/(1-cosx)(1-cosx)/|sinx|
=sinx/|sinx|
=1 if x∈[2nπ,(2n+1)π]
=-1 ifx∈[(2n-1)π,2n]
1年前

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