{[(" 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 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

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

Solve cosec^(2)theta-cot^(2) theta=cos theta .

Solve cosec^(2)theta-cot^(2) theta=cos theta .

Solve cosec^(2)theta-cot^(2) theta=cos theta .

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

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

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

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =