{(cot theta)/(cot theta-cot3 theta)+(tan theta)/(tan theta-tan3 theta)}=?

Prove the trigonometric identities: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+tan theta+cot 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)

(sec theta+tan theta)/(csc theta+cot theta)=(csc theta-cot theta)/(sec theta-tan theta)

Prove (sec theta+tan theta)/(cos ec theta+cot theta)=(cos ec theta-cot theta)/(sec theta-tan theta)

tan theta . cot theta = ?

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

if 3tan theta=cot theta then theta

If 3tan theta=cot theta then theta=

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