(1+sin x)/(1-sin x) = (2 sec^2 x )+(2 sec x tanx) - 1 怎么证明出来

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/07 10:01:23

(1+sin x)/(1-sin x) = (2 sec^2 x )+(2 sec x tanx) - 1 怎么证明出来,
只能动(1+sin x)/(1-sin x) ,不能动右边的.

(1+sinx)/(1-sinx)
=(1+sinx)^2/(1-sinx)(1+sinx)
=(1+2sinx+sin^2x)/(1-sin^2x)
=(1+2sinx+sin^2x)/cos^2x
=sec^2x+2secxtanx+tan^2x
=2sec^2x+2secxtanx-(sec^2x-tan^2x)
=2sec^2x+2secxtanx-1

(1+sin x)/(1-sin x) = (2 sec^2 x )+(2 sec x tanx) - 1 怎么证明出来 sec x-tanx怎么能化简成2/(1+tan(x/2)), cot x=1/2 0〈X〈90度求 sin x ,cosx ,tanx,sec x,csc x 等于多少证明sec x+tanx=tan(π/4 +x/2) 证明(tan^2x-cot^2x)/(sin^2x-cos^2x)=sec^2x+csc^2x 证明(tan^2x-cot^2x)/(sin^2x+cos^2x)=sec^2x+csc^2x tan^2x+1=sec^2x怎么记住求f(x)=cosa/根号下(1-sin^2a)+根号下（1-cos^2a）/sina-tanx/根号下(sec^2a- 谁能帮忙整理下sin x、cos x、tanx、cot x、tan x/2、sin 2x、cos 2x、sec x、cs ∫sec²x/1+tanx dx =∫dx/(2cos^2(x/2)+1)=∫sec^(x/2)dx/(2+sec^2(x/2))怎么出来的? 证明：(1+2sinXcosX)/(sin^2X-cos^2X)=(tanX+1)/(tanX-1)