`cosec^(4)theta-cot^(4)theta`

cosec^(4)theta+cot^(2)theta+cosec^(2)theta)"=

cosec^(6)theta-cot^(6)theta-3cot^(2)theta.cosec^(2)theta=?

cosec^(2)theta-cot^(2)theta-1

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

csc^(6)theta-cot^(6)theta=1+3csc^(2)theta cot^(2)theta

Prove each of the following identities : (i) sin^(6) theta + cos^(6)theta = 1- 3 sin^(2) theta cos^(2) theta (ii) sin^(2)theta + cos^(4) theta = cos^(2) theta + sin^(4) theta (iii) "cosec"^(4) theta - "cosec"^(2) theta = cot^(4) theta + cot^(2) theta

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

If cot^4 theta+ cot^2 theta=3 then cosec^4 theta- cosec^2 theta = ?