# Trigonometric Crush 6

Geometry Level 3

$\large{\begin{eqnarray} t_1 = (\tan x)^{\cot x} &\quad,\quad& t_2 = (\cot x)^{\cot x} \\ t_3 = (\tan x)^{\tan x} &\quad,\quad& t_4 = (\cot x)^{\tan x} \end{eqnarray}}$

Given that $$0 < x< \frac\pi4$$, which of these inequalities in the answer choices must be true?

×