solve the following and prove right hand side is equal to the left hand side
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sec θ(1 - sin θ)(sec θ + tan θ) = 1
(sec θ - sec θ.sin θ)(sec θ + tan θ) = 1
[since, sec θ . sin θ = 1/cos θ × sin θ = sin θ/cos θ = tanθ]
(sec θ - tan θ)(sec θ + tan θ) = 1
sec²θ - tan²θ = 1
1 = 1
LHS = RHS
Hence, proved.
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