Question

Of thita = 30 verify that sin 20 = 2 sin thita cos thita

Answer 1

Answer:

$<strong>To</strong>\: <strong>Prove</strong> \: - \\ \\ sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \\ \\ \alpha = {30}^{0} \\ \\ L.H.S. = \sin(2 \times 30) = \sin(60) = \frac{ \sqrt{3} }{2} \\ \\ R.H.S. = 2 \times \sin(30) \times \cos(30) = 2 \times \frac{1}{2} \times \frac{ \sqrt{3} }{2} = \frac{ \sqrt{3} }{2}$

Hence prove