What is tan^-1(tan (3 π)/4)?

Inverse Trigonometric Functions · Question 91 of 120

Question 91

MediumOriginal question

What is $\tan^{-1}\left(\tan \frac{3 \pi}{4}\right)$ ?

- \frac{\pi}{4}

Correct answerYour answer

\frac{\pi}{4}

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\frac{3 \pi}{4}

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\frac{5 \pi}{4}

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

$\frac{3\pi}{4}$ is outside $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ ; $\tan$ repeats every $\pi$ , so subtract $\pi$ .

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

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