imastudenttoo imastudenttoo
  • 08-06-2022
  • Mathematics
contestada

pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra

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loneguy
loneguy loneguy
  • 08-06-2022

[tex]\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

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