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If ∠A and ∠B are acute angles such that tan A = Tan B then prove that ∠A = ∠B

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In ∆ABC, ∠C = 90° 

Tan A = BC/AC and 

Tan B = AC/BC 

As, tan A = tan B

⇒ BC/AC = AC/BC

⇒ BC2 = AC2 

⇒ BC = AC

 So, ∠A = ∠B

(Angle opposite to equal sides are equal)

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