Prove that `cot theta-tan theta=2cot 2 theta`.

Prove that cot(theta/2)-tan(theta/2)=2cot theta

Prove that cot 2 theta + tan theta = cosec 2 theta

Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 theta -cosec^3 theta) = sin^2 theta cos^2 theta.

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

Solve cot theta + tan theta=2 cosec theta .

prove that cottheta.cot2theta + cot2theta.cot3theta + 2 = cot theta(cot theta-cot3theta)

Solve tan5theta=cot2theta

Solve tan 5 theta= cot 2 theta .

Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-cot3theta)

Prove that sin(2theta)/(1-cos2theta)=cot theta