Let `theta in ( 0, pi/4)` and `t_1 = (tan theta)^(tan theta)`,`t_2 = (tan theta)^(cot theta), t_3 = ( cot theta)^(tan theta), t_4=(cot theta)^(cot theta)`, then

Explanation

As when `theta in (0, pi/4), tan theta< cot theta`


Since, `tan theta<1` and `cot theta>1`

(tan^theta)^(cot theta)<1` and `(cot^theta)^(tan theta)>1`


`t_4>t_1`