`tan theta+1/tan theta=2` then prove that `tan^2theta+1/tan^2theta=2`

If tan theta + 1/ tan theta = 2, then show that tan^2 theta + 1/tan^2 theta= 2 .

prove that cos^2theta(1 + tan^2 theta) = 1

prove that If tan theta + (1)/ (tan theta) = 2 then show that prove tan^2 theta + (1) / (tan^2 theta)

If tan theta+tan 2theta+tan 3theta = tantheta tan 2theta tan 3theta then the general value of theta is

If tan beta=cos theta tan alpha , then prove that tan^(2)""(theta)/(2)=(sin(alpha-beta))/(sin(alpha+beta)) .

If sec theta+tan theta =p then prove that (p^2-1)/(p^2+1)=sin theta

If sqrt(1 + x^2) sin theta = x , prove that tan^2 theta + cot^2 theta = x^2 + 1/x^2

(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))= .......... A) (sin theta)/(1+ tan theta) B) (2 sin theta)/(1+ tan theta) C) (2 sin theta)/((1+ tan theta )^(2)) D) (sin theta)/((1+ tan theta)^(2))