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secA (1-sinA) (secA + tan A)
= (secA-sinA×secA)(secA+tanA)
=(secA-tanA) (secA+tanA) as secA=1/cosA and sinA/cosA=tanA
= (sec²A-tan²A) as (a+b)(a-b)=a²-b²
=sec²A-tan²A=1 from identity.
Hence proved.
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