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Prove that:(tan(pi/4+x))/(tan(pi/4-x))=(...

Prove that:`(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2`

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To prove the equation: \[ \frac{\tan\left(\frac{\pi}{4} + x\right)}{\tan\left(\frac{\pi}{4} - x\right)} = \left(\frac{1 + \tan x}{1 - \tan x}\right)^2 \] we will start with the left-hand side (LHS) and simplify it step by step. ...
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(tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

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Knowledge Check

  • " tan " ((pi)/(4) -x) =(1 - tan x)/( 1+ tan x)

    A
    `tan (x -(pi)/(4))`
    B
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    C
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    D
    `tan((pi)/(4)) - tan(x)`

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