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?
by
Raj Rajput