√1+sinA/1-sinA=secA+tanA
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LHS
= √ 1+sin A / 1- sin A
= √(1+sinA)(1-sinA) / √ (1-sinA)^2
= √1-sin^2 A / 1-sin A
= cos A / 1- sin A
= cos A(1+sin A)/1-sin^2 A
= (1+sinA)cos A/cos^2 A
= (1+sinA)/cos A
= sec A + tan A
= RHS
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