This is the basic and conceptual question from trigonometric ratios in which we have given A = 45°
We have been asked to prove that sin 2A = 2sin A cos A
RS Aggarwal, class 10, chapter 11, question no 12(i).
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A=45∘ then 2A=90∘
sin2A = sin90∘
RHS
2sinAcosB
=2sin45∘ cos45∘
=2×1/√2×1/√2
2sinAcosB = 1
LHS:
sin90∘=1
L.H.S.=R.H.S.