Question

Which of the following are solutions to the equation tan2x - 1 = 0? Check all that apply. - A. 30 4 WEB 과 С. kle D.

Answer 1

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 (\frac{\pi}{4})=1.$

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

Hence the solution is

$x=\frac{\pi}{4}$

Option B is correct.