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Lostsunrise [7]
2 years ago
11

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

Mathematics
1 answer:
katen-ka-za [31]2 years ago
6 0

\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.}

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