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Step-by-step explanation:
LHS
tanA+secA-1/tanA-secA+1
=tanA+secA-(sec²A-tan²A)/ tanA-secA+1
=tanA+secA-(secA+tanA)(secA-tanA)/ tanA-secA+1
=(secA+tanA)(1-secA+tanA)/ tanA-secA+1
=secA+tanA
=1/cosA+sinA/cosA
=1+sinA/cosA
=R.H.S
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