√1+sinA/1-sinA=SecA+TanA
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Step-by-step explanation:
LHS = √1+sinA/1-sinA = √1+sinA ÷ √1-sinA = √(1+sinA)² ÷ √1-sinA√1+sinA
= 1+sinA ÷ √1-sin²A = 1+sinA ÷ √cos²A = 1+sinA ÷ cosA
= 1/cosA+sinA /cosA = SecA+TanA = RHS
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