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Step-by-step explanation:
To prove=sec(1-sinA)(secA+tanA)=1
Proof
(SecA-sinAsecA)(secA+tanA)
(SecA-sinA1/cosA)(secA+tanA)
(secA-sinA/cosA)(secA+tanA)
(secA-tanA)(secA+tanA)
(Sec^2A-tan^2A)
=1
Hence proved
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