What is tan^-1(tan (7 π)/6)?

Inverse Trigonometric Functions · Question 97 of 120

Question 97

MediumOriginal question

What is $\tan^{-1}\left(\tan \frac{7 \pi}{6}\right)$ ?

- \frac{\pi}{6}

Correct answerYour answer

\frac{\pi}{6}

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\frac{5 \pi}{6}

Correct answerYour answer

\frac{7 \pi}{6}

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$\tan$ repeats every $\pi$ : $\frac{7\pi}{6} - \pi = \frac{\pi}{6}$ is on the branch.

Ten questions from Inverse Trigonometric Functions, at your own pace.

Ten questions from Inverse Trigonometric Functions, at your own pace.