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)

=

=

=

We know that sin²A + cos²A = 1

or we can say that, 1 – sin²A = cos²A

LHS =

= 1 ……….. RHS

Hence proved!