Multiple choice

If tan 2A = cot (A – 18o), where 2A is an acute angle. Find the value of A. यदि tan 2A = cot (A – 18o), जहाँ 2A न्यून कोण है। A का मान क्या कीजिए।

  1. 32o

  2. 36o

  3. 40o

  4. 44o

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B Correct answer
Explanation

Using complementary angle relationship: tan θ = cot(90° - θ). So tan 2A = cot (A - 18°) implies 2A = 90° - (A - 18°) = 108° - A. Therefore 3A = 108°, giving A = 36°.