Show that :`3(tan^2theta+cot^2theta)-7(cottheta+tantheta)+10gt0`

Solve 4cot2theta=cot^2theta-tan^2theta

The smallest value of 3(tan^(2)theta+cot^(2)theta) - 8(tantheta + cottheta)+10, theta in (0,pi/2) can be

i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1

Prove that: ((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

Solve: cot2theta=tantheta

Solve the equation: tantheta+tan2theta+tanthetatan2theta=1

Solve: tan^(2)3theta=cot^(2)theta

Solve the equation tantheta-cottheta="cosec"theta

Prove that : (tan^(2)theta)/(1+tan^(2)theta)+(cot^(2)theta)/(1+cot^(2)theta)=1

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