log `[ cot (theta //2)]` =

If x = log [ cot (pi/4 + theta )] then sinh x =

If theta = (pi)/(6) and x = log [ cot (pi/(4) + theta)] , then sin h(x) =

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

Prove that: cot theta cot2 theta + cot2 theta cot 3 theta + 2 = cot theta(cot theta - cot3 theta)

Prove that cot theta cot 2 theta+ cot 2 theta cot 3 theta+ 2= cot theta (cot theta- cot 3 theta) .

Show that cot theta* cot 2theta+ cot 2theta *cot 3theta + 2 = cot theta(cot theta - cot 3theta)

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

Prove that cot^(2)""(theta)/(2) - tan^(2) ""(theta)/(2) = 4 cot theta cosec theta .