Question:
If $2 \sin 2 \theta=\sqrt{3}$ then $\theta=?$
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Solution:
As we know that,
$\sin 60^{\circ}=\frac{\sqrt{3}}{2}$
Thus,
if $2 \sin 2 \theta=\sqrt{3}$
$\Rightarrow \sin 2 \theta=\frac{\sqrt{3}}{2}$
$\Rightarrow 2 \theta=60^{\circ}$
$\Rightarrow \theta=30^{\circ}$
Hence, the correct option is (a).
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