Show that :`3(tan^2theta+cot^2theta)-9(cottheta+tantheta)+10gt0`

Show that, (1+tan^2theta)/(1+cot^2 theta)=tan^2theta

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

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

tantheta+tan2theta=tan3theta

Solve: cot2theta=tantheta

Show that cot theta* cot 2theta+ cot 2theta *cot 3theta + 2 = cot theta(cot theta - cot 3theta)

Prove that (tan theta+cot theta+1)(tan theta+cot theta-1)=sec^2 theta+cot^2 theta

Let thetain(0,pi//4)and t_(1)=(tantheta)^(tantheta), t_(2)=(tantheta)^(cottheta),t_(3)=(cot theta)^(tantheta)and t_(4)=(cot theta)^(cot theta). Then,