What is the principal value of tan^-1(√(3))?

Inverse Trigonometric Functions · Question 36 of 120

Question 36

EasyOriginal question

What is the principal value of $\tan^{-1}\left(\sqrt{3}\right)$ ?

- \frac{\pi}{3}

Correct answerYour answer

\frac{\pi}{6}

Correct answerYour answer

\frac{\pi}{3}

Correct answerYour answer

\frac{4 \pi}{3}

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Find the angle $\theta$ in the branch $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ with $\tan \theta = \sqrt{3}$ .
That angle is $\frac{\pi}{3}$ .

Worth noting

$\tan \frac{\pi}{6} = \frac{1}{\sqrt{3}}$ ; $\sqrt{3}$ is $\tan \frac{\pi}{3}$ .

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

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