Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

Which of the following is the range of the principal value of $\sec ^{-1} x$.

Options:

$\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

$\left(0, \frac{\pi}{2}\right)$

$[0, \pi)$

$[0, \pi]-\left\{\frac{\pi}{2}\right\}$

Correct Answer:

$[0, \pi]-\left\{\frac{\pi}{2}\right\}$

Explanation:

The correct answer is Option (4) - $[0, \pi]-\left\{\frac{\pi}{2}\right\}$