Question

The range of ${\tan }^{-1}x$ is:

• A. $\left(\mathrm{\pi },\frac{\mathrm{\pi }}{2}\right)$
• B. $\left(-\frac{\mathrm{\pi }}{2},\frac{\mathrm{\pi }}{2}\right)$
• C. $(-\pi ,\pi )$
• D. $(0,\pi )$

Answer 1

The correct option is B

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

The explanation for the correct answer.

The range of ${\tan }^{-1}x$ is $\left(-\frac{\mathrm{\pi }}{2},\frac{\mathrm{\pi }}{2}\right)$

Hence, option(B) is the correct answer.