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 ((\pi)/(4))=1.`

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

Hence the solution is

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

Option B is correct.