1 + tan2A ÷1+cot2A.............
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1 + tan2A ÷ 1 ÷ cot2A
= 1 + tan2A / 1 + cot2A
= 1 + sin2A/cos2A / 1 + cos2A/sin2A
= (sin2A + cos2A)/cos2A / (cos2A + sin2A)/sin2A
= (sin2A + cos2A)/cos2A × sin2A/(cos2A + sin2A)
= sin2A / cos2A
= tan2A ✅
•°• 1 + tan2A ÷ 1 + cot2A = tan2A
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