Question

What is ${\tan }^{-1}x$?

Answer 1

${\tan }^{-1}x$:

• ${\tan }^{-1}x$ is an inverse trigonometric function of the tangent function.
• It is also denoted by $\arctan \left(x\right)$
• In a right-angled triangle, ${\tan }^{-1}x$ gives the value of the corresponding angle between the base and the hypotenuse.
• Domain of $y={\tan }^{-1}\left(x\right)$ is $\left(-\infty ,\infty \right)$.
• Range of the function $y={\tan }^{-1}\left(x\right)$ is $\left(-\frac{\mathrm{\pi }}{2},\frac{\mathrm{\pi }}{2}\right)$.