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Let theta in (0,pi/4) and t1=(tan theta)...

Let `theta in (0,pi/4) and t_1=(tan theta)^(tan theta), t_2=(tan theta)^(cot theta), t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta),` then

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tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta