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Qus: If tan2A = cot(A-18°), then value of A is


A. 27°
B. 24°
C. 36°
D. 18°


Solution
C. 36°



Explanation

Given, tan 2A = cot (A – 18°)


⇒ tan 2A = tan (90 – (A – 18°)


⇒ tan 2A = tan (108° – A)


⇒ 2A = 108° – A


⇒ 3A = 108°


⇒ A = 36°

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