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Prove that (cos x + sin x)/(cos x - sin...

Prove that `(cos x + sin x)/(cos x - sin x) - (cos x - sin x)/(cos x + sin x) = 2 tan x`

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To prove the equation \[ \frac{\cos x + \sin x}{\cos x - \sin x} - \frac{\cos x - \sin x}{\cos x + \sin x} = 2 \tan x, \] we will simplify the left-hand side step by step. ...
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