1 Answer

Yumugee · Answer 1 · 2023-07-08T11:28:50+0000

The given equation is

$\tan ^2x-1=0$

Adding 1 on both sides, we get

$\tan ^2x-1+1=0+1$

$\tan ^2x=1$

$\tan ^2x=1^2$

Taking square root on both sides, we get

$\tan ^{}x=1$
$\text{ Use }\tan ((\pi)/(4))=1.$

$\tan ^{}x=\tan ((\pi)/(4))$
$x=(\pi)/(4)$

Hence the solution is

$x=(\pi)/(4)$

Option B is correct.

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