sec4-sec2=1-cos/1+cos
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Right question : To Prove sec⁴θ - sec² θ =tan⁴θ + tan² θ
Proof: L.H.S = tan⁴θ + tan²θ
= tan²θ (tan²θ + 1)
= (sec²θ - 1) (tan²θ + 1) [since, tan²θ = sec²θ – 1]
= (sec²θ - 1) sec²θ [∵ tan²θ + 1 = sec²θ]
= sec⁴θ - sec²θ = R.H.S
hence proved
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