This is the basic and exam oriented question from trigonometric ratios in which we have to prove that
2sin 30° cos 30° = sin 60°
RS Aggarwal, Class 10, chapter 11, question no 11(iii).
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To Prove:
sin60° = 2sin30° cos30°
L.H.S.:
sin60∘=√3/2
R.H.S.:
2sin30∘cos30∘
=2×1/2×√3/2
=√3/2
Thus, L.H.S.=R.H.S