Weekly Challenge #1

Geometry Level 2

Let 0<θ<450 ^ \circ < \theta < 45 ^ \circ . Then arrange -

t1t_1 = (tanθ)tanθ(tan \theta) ^ {tan \theta} , t2t_2 = (tanθ)cotθ(tan \theta) ^ {cot \theta} ,

t3t_3 = (cotθ)tanθ(cot \theta) ^ {tan \theta} , t4t_4 = (cotθ)cotθ(cot \theta) ^ {cot \theta}

in decreasing order.

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