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 that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

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

Prove that sec^(2) theta + cosec^(2) theta = sec^(2) theta * cosec^(2) theta

Prove that sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(2) theta

Solve cot theta + tan theta=2 cosec theta .

Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)theta

Prove that cot^4 theta+ cot^2 theta= cosec^4 theta-cosec^2 theta

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 .

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

If cosec theta + cot theta= 2.5 , then cosec theta = ?