Question
$\frac{1-\tan ^2 45^{\circ}}{1+\tan ^2 45^{\circ}}=?$

Answer

$\frac{1-\tan ^2 45^{\circ}}{1+\tan ^2 45^{\circ}}=\frac{1-(1)^2}{1+(1)^2}.....[\because \tan 45^\circ = 1]$
$=\frac{1-1}{1+1}$
$=\frac{0}{2}$
$= 0$

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