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)]

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/08 05:55:43
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)]

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)]
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)]

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)]
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]