[" 9."cosec^(4)theta-cot^(4)theta=cosec^(2)theta+cot^(2)theta],[" 10,"cos^(6)theta+sin^(6)theta=1-3sin^(2)theta cos^(2)theta]

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

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

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

Prove that cot^(4)theta+cot^(2)theta="cosec"^(4)theta-"cosec"^(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

If cosec^(6) theta - cot^(6) theta = a cot^(4) theta + b cot^(2) theta + c then a+b+c=

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

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

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