In a right triangle ABC, right angled at B, if tan A = 1, then verify that 2 sin A cos A = 1
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tan A = 1 As we know Now construct a right angle triangle right angled at B such that ∠ BAC = θ Hence perpendicular = BC = 1 and base = AB =1
By Pythagoras theorem, AC2 = AB2 + BC2 ⇒ AC2 = (1)2 + (1)2 ⇒ AC2 = 2 ⇒ AC = √2 As, ⇒ 2 sin A cos A=1 = R.H.S H
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