Express `cosec theta` in term of `cot theta`

(i) Express cos theta in terms of tan theta (ii) Express cos theta in terms of "cosec" theta

Express sin theta in terms of cot theta .

cosec^2 theta - cot^2 theta = 1 +…..

Prove that: cosec theta +cosec (theta/2)+cosec (theta/2^2)+cosec(theta/2^3)+… to n terms = cot(theta/2^n) -cot theta

Prove each of the following identities : (sin theta)/((cot theta + "cosec" theta )) - (sin theta)/((cot theta - "cosec" theta))= 2

Prove that cosec 2alpha = cot alpha - cot 2alpha . Hence or otherwise prove that cosec theta + cosec 2theta + cosec 4theta + cosec 8theta = cot theta/2 - cot 8theta .

x=a cosec theta+b cot theta, y=a cosec theta-b cot theta . Then, ((x+y)/(a))^(2)-((x-y)/(b))^(2)=4

(sin theta)/(cot theta+cosec theta)=2+(sin theta)/(cot theta-cosec theta)

Prove that (sin theta)/((cot theta+cosec theta))-(sin theta)/((cot theta-cosec theta))=2

If cosec theta + cot theta= p , cos theta = ?