Question

The general solution of the equation $tan^{2}x=1 $ is

• A. $n\pi + \frac{\pi}{4}$
• B. $n\pi - \frac{\pi}{4}$
• C. $n\pi \pm \frac{\pi}{4}$
• D. $2n\pi \pm \frac{\pi}{4}$

Answer 1

Answer: (C)

Given, $\tan ^{2} x=1$
$\Rightarrow \tan ^{2} x=1^{2}$
$\Rightarrow \tan ^{2} x=\tan ^{2} \frac{\pi}{4}$
$\Rightarrow x=n \pi \pm \frac{\pi}{4}$