prove that : `cot theta - tan theta = 2 cot 2theta`

cot2 theta+tan theta

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

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

Prove that: cot theta + tan theta = cosec theta sec 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 + cos theta cosec theta

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

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