Question

Bhai ek pal store tan inverse tan half in terms of time

Answer 1

$\frac{1}{2}$

Answer 2

We use the identity $\tan^{-1}(\tan x) = x$, which is valid when $x$ lies in the principal range of the arctangent function, i.e., $x \in (-\frac{\pi}{2}, \frac{\pi}{2})$. In this case, $x = \frac{1}{2}$. Since $-\frac{\pi}{2} < \frac{1}{2} < \frac{\pi}{2}$, the value $\frac{1}{2}$ is within the principal range. Therefore, $\tan^{-1}(\tan(\frac{1}{2})) = \frac{1}{2}$.