tan x /(1-cot x) + cot x /(1-tanx) = 1+ sec x csc x求证!

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tanx/(1-cotx)+cotx/(1-tanx)=1+secxcscx求证!tanx/(1-cotx)+cotx/(1-tanx)=1+secxcscx求证!tanx/(1-cotx)+cotx

tan x /(1-cot x) + cot x /(1-tanx) = 1+ sec x csc x求证!
tan x /(1-cot x) + cot x /(1-tanx) = 1+ sec x csc x
求证!

tan x /(1-cot x) + cot x /(1-tanx) = 1+ sec x csc x求证!
tanx/(1 - cotx) + cotx/(1 - tanx)
= tanx/(1 - cosx/sinx) + cotx/(1 - sinx/cosx)
= sinxtanx/(sinx - cosx) + cosxcotx/(cosx - sinx)
= (sinxtanx - cosxcotx)/(sinx - cosx)
= (sin²x/cosx - cos²x/sinx)/(sinx - cosx)
= (sin³x - cos³x)/[sinxcosx(sinx - cosx)]
= [(sinx - cosx)(sin²x + sinxcosx + cos²x)]/[sinxcosx(sinx - cosx)]
= (1 + sinxcosx)/(sinxcosx)
= 1 + secxcscx

tan x /(1-cot x) + cot x /(1-tanx) = 1+ sec x csc x求证! y=(1+tan x)/(1+cot x)的求导化简(1+cos2x)/{cot(x/2）-tan（x/2)} 求∫(tan^x+cot^x)dx tan x 、 cot x 的导数是多少? c语言题目三十五实现tan(x)曲线与cot(x)曲线图形的同时显示.实现tan(x)曲线与cot(x)曲线图形的同时显示.（1）实现用“*”显示0~360度的tan(x)曲线、（2）实现用“*”显示0~360度的cot(x)曲线证明cot(x)-cot(x/2)=tan(x/2)+1拜托了各位题目好像是,证明 cot(x)-cot(x/2)=tan(x/2)+1 或证明 cot(x)-cot(x/2)=tan(x/2)-1.两者之一是对的,不记得了.大家来帮帮, 求证(csc x+cot x)/(sec x+tan x)=(sec x- tan x)/(csc x- cot x) 求lim(x->0)(1+3(tan^2)x)^((cot^2)x) lim(1+3tan²x)^cot²x (x→0) lim(x→0)(1+3tan^2(x))^cot^2(x)=? x趋向0时（1+3tan²x）^cot²x的极限化简：cos^2x / ( cot(x/2)-tan(x/2) ) 化简：cos^2x / ( cot(x/2)-tan(x/2) ) lim x→0 (cot x)^tan 2x= (tan x+cot x)cos平方x= cot^-1(x)=π/2-tan^-1（x）求证过程求证:tan^2x+cot^2x=2(3+cos4x)/(1-cos4x)