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

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

Prove that : cot theta-tan theta=2cot2 theta

cot theta-tan theta=2

Prove that cot^(2)""(theta)/(2) - tan^(2) ""(theta)/(2) = 4 cot theta cosec theta .

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

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

cot2 theta+tan theta

Prove that: cot theta cot2 theta+cot2 theta cot3 theta+2=cot theta(cot theta-cot3 theta)

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

Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta