Prove that : cosec^6θ= cot^6θ + 3cot^2θ cosec^2θ +1

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The expression (cos^6 θ + sin^6 θ – 1)(tan^2 θ + cot^2 θ + 2) + 3 is equal to: The expression (cos^6 θ + sin^6 θ – 1)(tan^2 θ + cot^2 θ + 2) + 3 is equal to:
Prove that- (cosec)^6 ⁡θ=(cot)^6⁡ θ +3 (cot)^2 ⁡θ.(cosec)^2 ⁡ θ+ 1 Prove that- (cosec)^6 ⁡θ=(cot)^6⁡ θ +3 (cot)^2 ⁡θ.(cosec)^2 ⁡ θ+ 1
Prove that cosec^2 theta + sec^2 theta= cosec^2 theta sec^2 theta / Prove that tan theta + cot theta Prove that cosec^2 theta + sec^2 theta= cosec^2 theta sec^2 theta / Prove that tan theta + cot theta