1+ sinA ÷ cosA + cosA ÷ 1+ sin A = 2 sec A
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Step-by-step explanation:
(1+sinA)/cosA + cosA/(1+sinA)
=(1+sinA)²+cos²A/(1+sinA)cosA
=1+2sinA+sin²A+cos²A/(1+sinA)cosA
=2(1+sinA)/(1+sinA)cosA
=2/cosA
=2secA
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