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Which of the following are solutions to the equation tan2x-1 = 0? Check allthat apply.

Which of the following are solutions to the equation tan2x-1 = 0? Check allthat apply-example-1
User KvdLingen
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1 Answer

4 votes

Given the equation;


\tan ^2x-1=0

Add 1 to both sides of the equation and you'll have;


\begin{gathered} \tan ^2x-1+1=0+1 \\ \tan ^2x=1 \end{gathered}

Square root both sides and you'll have;


\begin{gathered} \tan x=\pm\sqrt[]{1} \\ \tan x=\pm1 \\ \text{Therefore,} \\ x=\tan ^(-1)(1) \\ x=(\pi)/(4) \\ \text{Also,} \\ x=\tan ^(-1)(-1) \\ x=-(\pi)/(4) \end{gathered}

The correct answer is option B, which is


(\pi)/(4)

User Ben Brammer
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