Weekly Challenge #1

Geometry Level 1

Let \(0 ^ \circ < \theta < 45 ^ \circ \). Then arrange -

\(t_1\) = \((tan \theta) ^ {tan \theta} \) , \(t_2\) = \((tan \theta) ^ {cot \theta} \) ,

\(t_3\) = \((cot \theta) ^ {tan \theta} \) , \(t_4\) = \((cot \theta) ^ {cot \theta} \)

in decreasing order.

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