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), t_4=(cot theta)^(cot theta)`, then

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

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

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

Let theta in (0,pi/4) and t_1=(tan theta)^(tan theta), t_2=(tan theta)6(cot theta), t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta), then

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 show that t_(4) gt t_(3) gt t_(1) gt t_(2) .

Let theta in (0,pi/4) and t_(1) = (tan theta)^(tantheta) and t_(2) = (tan theta)^(cottheta),t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta) , then :

Let theta = (0,(pi)/(4)) and t_(0) = (tan theta)^(tan theta), t_(2) = (tan theta)^(cot theta), t_(3) = (cot theta)^(tan theta) .t_(4) = (cot theta)^(cot theta) then

Let theta in(0,(pi)/(4)) and t_(1)=(tan theta)^(tan theta),t_(2)=(tan theta)6(cot theta),t_(3)=(cot theta)^(tan theta) and t_(4)=(cot theta)^(cot theta) then

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta