5. (1 + tan A)2 + (1 - tan A)2 = 2 sec2 A
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Step-by-step explanation:L.H.S. = (1 + tan A)2 + (1 – tan A)2
= 1 + 2 tan A + tan2 A + 1 – 2 tan A + tan2 A
= 2(1 + tan2 A)
= 2 sec2 A = R.H.S.
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