Prove that sec A (1- sin A)(sec A + tan A) = 1

Q) Prove that sec A (1- sin A)(sec A + tan A) = 1

Ans: Let’s start from LHS

LHS = sec A (1- sin A)(sec A + tan A)

= $Prove that sec A (1- sin$

We know that sin²A + cos²A = 1

or we can say that, 1 – sin²A = cos²A

$Prove that sec A (1- sin$ LHS = $Prove that sec A (1- sin$

= 1 ……….. RHS

Hence proved!

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