PROVE: sec⁴-sec²= tan⁴+tan²

LHS

sec⁴θ-sec²θ

= sec²θ(sec²θ-1)= (1+Tan²θ)((1+Tan²θ)-1)= (1+Tan²θ)(Tan²θ)=Tan²θ+Tan⁴θso, sec⁴θ-sec²θ=Tan⁴θ+Tan²θ had proved.

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