Prove that (cos A + sin A)2 = 1 + sin 2A.
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LHS= (sin A - cos A)^2= sin^2 A + cos^2 A - 2 sin A cos A= 1 - 2 sin A cos Abecause sin^2 x + cos^2 x = 1so,= 1 - 2sinAcosA= 1- sin2A ...
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