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Problem Let θ ∈ ( 0 , π 4 ) \theta \in \left( 0, \frac{\pi}{4} \right) θ ∈ ( 0 , 4 π ) t 1 = ( tan θ ) tan θ t_1 = (\tan \theta)^{\tan \theta} t 1 = ( tan θ ) t a n θ t 2 = ( tan θ ) cot θ t_2 = (\tan \theta)^{\cot \theta} t 2 = ( tan θ ) c o t θ t 3 = ( cot θ ) tan θ t_3 = (\cot \theta)^{\tan \theta} t 3 = ( cot θ ) t a n θ t 4 = ( cot θ ) cot θ t_4 = (\cot \theta)^{\cot \theta} t 4 = ( cot θ ) c o t θ t 1 > t 2 > t 3 > t 4 t_1 > t_2 > t_3 > t_4 t 1 > t 2 > t 3 > t 4 t 4 > t 3 > t 1 > t 2 t_4 > t_3 > t_1 > t_2 t 4 > t 3 > t 1 > t 2 t 3 > t 1 > t 2 > t 4 t_3 > t_1 > t_2 > t_4 t 3 > t 1 > t 2 > t 4 t 2 > t 3 > t 1 > t 4 t_2 > t_3 > t_1 > t_4 t 2 > t 3 > t 1 > t 4 Browse the problem library