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

sec(pi/4+theta)sec(pi/4-theta)=2sec2theta

Prove that: cos^2(pi/4-theta)-sin^2(pi/4-theta)=sin2theta

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: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .

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

Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

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

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

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

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