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Find the value of [(1 + tan2A)/2tan A] × [(1 - tan2A)/(1 + tan2A)]?1. sec2 2A2. tan 2A3. cosec 2A4. cot 2A

Answer» Correct Answer - Option 4 : cot 2A

Formula used:

sin 2A = 2tanA/(1 + tan2A)

cos 2A = (1 - tan2A)/(1 + tan2A)

Calculation:

[(1 + tan2A)/2tan A] × [(1 - tan2A)/(1 + tan2A)]

⇒ (1/sin 2A) × cos 2A

⇒ cos 2A/sin 2A

⇒ cot 2A



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