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 cos^2 theta cosec theta+sin theta=cosec theta

Prove that, sin^2 theta+ cosec^2 theta>=2

Prove that 1+cot^(2) theta = cosec^(2) theta

Prove that cosec(pi/4+theta/2)cosec(pi/4-theta/2)=2sec theta

Prove that secthetacottheta="cosec"theta

Prove that cot 2 theta + tan 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 : cosec theta + cosec 2 theta + cosec 2^2 theta +...........+cosec2^(n-1) theta= cot(theta/2)-cot 2^(n-1)theta

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