Prove that: (〖tan〗^3 θ)/(1+〖tan〗^2 θ)+(〖cot〗^3 θ)/(1+〖cot〗^2 θ)=sec⁡θ cosec θ-2 sin⁡θ cos⁡θ.

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Prove that: (〖tan〗^3 θ)/(1+〖tan〗^2 θ)+(〖cot〗^3 θ)/(1+〖cot〗^2 θ)=sec⁡θ cosec θ-2 sin⁡θ cos⁡θ.

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