What is sin^-1(sin (2 π)/3)?

Inverse Trigonometric Functions · Question 88 of 120

Question 88

MediumOriginal question

What is $\sin^{-1}\left(\sin \frac{2 \pi}{3}\right)$ ?

- \frac{\pi}{3}

Correct answerYour answer

\frac{\pi}{3}

Correct answerYour answer

\frac{2 \pi}{3}

Correct answerYour answer

\frac{4 \pi}{3}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$\frac{2\pi}{3}$ is outside $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ , so $\sin^{-1}$ cannot return it.

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

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