(SecA+tanA-1)(secA-tanA +1)=2 tanA
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Explanation:
(secA + tanA - 1)(secA - tanA +1)
= {sec A +(tanA - 1)}{secA - (tanA - 1)}
= (secA)² - (tanA - 1)²
= sec²A - (tan²A - 2tanA +1)
= sec²A - tan²A + 2tanA - 1
= 1 + 2tanA - 1. [ sec²A - tan²A = 1]
= 2 tanA (Hence Proved)
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