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  • 23-01-2017
  • Mathematics
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Prove Tan x - 1/Tan x + 1 = 1 - cot x/1 + cot x

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LammettHash
LammettHash LammettHash
  • 23-01-2017
[tex]\dfrac{\tan x-1}{\tan x+1}=\dfrac{\dfrac{\sin x}{\cos x}-1}{\dfrac{\sin x}{\cos x}+1}=\dfrac{\sin x-\cos x}{\sin x+\cos x}=\dfrac{1-\dfrac{\cos x}{\sin x}}{1+\dfrac{\cos x}{\sin x}}=\dfrac{1-\cot x}{1+\cot x}[/tex]
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