Answered

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

Which Of The Following Are Solutions To The Equation Tan2x 1 0 Check All That Apply A 30 4 WEB 과 С Kle D class=

Sagot :

The given equation is

[tex]\tan ^2x-1=0[/tex]

Adding 1 on both sides, we get

[tex]\tan ^2x-1+1=0+1[/tex]

[tex]\tan ^2x=1[/tex]

[tex]\tan ^2x=1^2[/tex]

Taking square root on both sides, we get

[tex]\tan ^{}x=1[/tex][tex]\text{ Use }\tan (\frac{\pi}{4})=1.[/tex]

[tex]\tan ^{}x=\tan (\frac{\pi}{4})[/tex][tex]x=\frac{\pi}{4}[/tex]

Hence the solution is

[tex]x=\frac{\pi}{4}[/tex]

Option B is correct.

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