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If $2 \sin 2 \theta=\sqrt{3}$, then $\theta=$
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Verified Answer
The correct answer is:
$30^{\circ}$
We are given that
$\begin{aligned} & 2 \sin \theta=\sqrt{3} \Rightarrow \sin 2 \theta=\frac{\sqrt{3}}{2}=\sin \left(\frac{\pi}{3}\right) \\ & \Rightarrow 2 \theta=\frac{\pi}{3} \Rightarrow \theta=\frac{\pi}{6} \Rightarrow \theta=30^{\circ}\end{aligned}$
$\begin{aligned} & 2 \sin \theta=\sqrt{3} \Rightarrow \sin 2 \theta=\frac{\sqrt{3}}{2}=\sin \left(\frac{\pi}{3}\right) \\ & \Rightarrow 2 \theta=\frac{\pi}{3} \Rightarrow \theta=\frac{\pi}{6} \Rightarrow \theta=30^{\circ}\end{aligned}$
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