Sec 2 theta(Sec 2 theta-2) + 1= tan 4 theta
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sec²θ(sec²θ-2)+1
=sec⁴θ-2sec²θ+1
=(sec²θ)²-2.sec²θ.1+(1)²
=(sec²θ-1)²
=(tan²θ)² [∵, sec²θ-tan²θ=1]
=tan⁴θ (Proved)
=sec⁴θ-2sec²θ+1
=(sec²θ)²-2.sec²θ.1+(1)²
=(sec²θ-1)²
=(tan²θ)² [∵, sec²θ-tan²θ=1]
=tan⁴θ (Proved)
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