" 127.Prove that "cot theta-tan theta=2cot(2 theta)

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

cot2 theta+tan theta

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

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

cot 2 theta + tan theta =

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

Prove that, (cot theta - tan theta)/(1-2 sin ^(2) theta) = sec theta "cosec" theta

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

If cot^(2) theta= cot (theta-alpha) cot( theta- beta) , prove that cot alpha+ cot beta=2 cot 2 theta

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