Correct Answer - Option 1 : 3
Given
[2 + sec2A - cot2(90° - A)] × [tan2(90° - A) × (1/cot 2A)]
Formula used
cot(90° - A) = tan A
tan(90° - A) = cot A
Calculation
[2 + sec2A - cot2(90° - A)] × [tan2(90° - A) × (1/cot 2A)]
= [2 + sec2A - tan 2A] × (cot 2A) × (1/cot 2A)
⇒ (2 + 1) × 1
⇒ 3 × 1
⇒ 3
∴ [2 + sec2A - cot2(90° - A)] × [tan2(90° - A) × (1/cot 2A)] is 3