Question

If $2\sin 2\mathrm{\theta }=\sqrt{3}\mathrm{then}\mathrm{\theta }=?$
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Answer 1

As we know that,
​$$\begin{gathered} \sin 60°=\frac{\sqrt{3}}{2} \\ \mathrm{Thus}, \\ \mathrm{if}2\sin 2\theta =\sqrt{3} \\ \Rightarrow \sin 2\theta =\frac{\sqrt{3}}{2} \\ \Rightarrow 2\theta =60° \\ \Rightarrow \theta =30° \\ \mathrm{Hence},\mathrm{the}\mathrm{correct}\mathrm{option}\mathrm{is}\left(\mathrm{a}\right). \end{gathered}$$