Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $tan^{-1}x=y,$ then

Options:

$x \in R, y \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

$x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right), y \in R$

$x \in R, y \in \left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$

$x \in [-1, 1], y \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

Correct Answer:

$x \in R, y \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

Explanation:

The correct answer is Option (1) → $x \in R, y \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

$\tan^{-1}x=y$

y = range of $\tan^{-1}x=(-\frac{π}{2},\frac{π}{2})$

$x∈R,y∈(-\frac{π}{2},\frac{π}{2})$