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Prove the following identities: cot^4the...

Prove the following identities: `cot^4theta+cot^2theta=cos e c^4theta-c o s e c^2 theta`

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To prove:
`cot^4theta+cot^2theta=cosec^4theta-c o s e c^2 theta`

We know that,
`cosec^2 theta=1+cot^2 theta`

`RHS: \ \ cosec^4theta-c o s e c^2 theta` `=cosec^2 theta(cos e c^2theta-1)`
`=(1+cot^2theta)(cot^2 theta)`
...
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