(1 + Sin2A + Cos2A)² = 4Cos²A (1+Sin2A)
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Step-by-step explanation:
LHS = (1+sin2a+cos2a)^2
=(1+2sinacosa +2cos^2a-1)^2
=(2cosa)^2.(sina+cosa)^2
=4cos^2a(sin^2+cos^2+2sinacosa)
=4cos^2a(1+sin2a)
=RHS
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