The general solution of the equation ^2 x=1 is - Vidyadip

MCQ

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

A
$n \pi+\frac{\pi}{4}$
B
$n \pi-\frac{\pi}{4}$
✓
$n \pi \pm \frac{\pi}{4}$
D
$2 n \pi \pm \frac{\pi}{4}$

✓

Answer

Correct option: C.

$n \pi \pm \frac{\pi}{4}$

(c) : $\tan ^2 x=1 \Rightarrow \tan x= \pm 1$
$\Rightarrow \tan x= \pm \tan \frac{\pi}{4} \Rightarrow x=n \pi \pm \frac{\pi}{4}$

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