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

Prove the trigonometric identities: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+tan theta+cot theta

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

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

Prove each of the following identities : (tan theta)/((1-cot theta)) + (cot theta)/((1- tan theta)) = (1+ sec theta "cosec" theta)

Prove the following identity : (tan theta)/(1-cot theta)+ (cot theta)/(1-tan theta)= 1+sec theta cosec theta .

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), 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