(1 - cos2 )(1 + cot? e) + tan? 0 = sec? 0
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L.H.S = tan2 θ – (1/cos2 θ) + 1
= tan2 θ - sec2 θ + 1 [since, 1/cos θ = sec θ]
= tan2 θ – (1 + tan2 θ) +1 [since, sec2 θ = 1 + tan2 θ]
= tan2 θ – 1 – tan2 θ + 1
= 0 = R.H.S.
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