Question

$\left[\right(\tan x{)}^{\tan x}{]}^{\tan x}$ at $x=\frac{\pi }{4}$.

Answer 1

$\begin{array}{c}{\left[{\left(\tan x\right)}^{\tan x}\right]}^{\tan x}\\ Atx=\overline{x}!|4\\ {\left[{\left(\tan \frac{\pi }{4}\right)}^{\left(\tan /4\right)}\right]}^{\tan \overline{\pi }!|4}\\ \left[\because \tan \frac{\pi }{4}=1\right]\\ \therefore {\left[1^1\right]}^1=1Ans.\end{array}$