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Step-by-step explanation:
From LHS
CosA / 1+sinA + 1+sinA/cosA
taking LCM , cos²A+ (1+sinA)²/ cosA (1+sinA)
=> cos²A + sin²A + 1 + 2sinA / cosA (1+sinA)
=> 1 + 1 + 2sinA /cosA(1+sinA )
=> 2 ( 1 + sinA)/cosA (1+sinA)
=> 2/cosA = 2secA
LHS = RHS PROVED
Hope it's helpful
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