Trigonometric Crush 6

Geometry Level 3

t1=(tanx)cotx,t2=(cotx)cotxt3=(tanx)tanx,t4=(cotx)tanx \large{\begin{aligned} 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{aligned}}

Given that 0<x<π4 0 < x< \frac\pi4 , which of these inequalities in the answer choices must be true?

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