Question

Find the value of $\theta$ in each of the following :
2 sin 2$\theta =\sqrt{3}$

Answer 1

We have,
2 sin 2 $\theta =\sqrt{3}$
$\Rightarrow sin2\theta =\frac{\sqrt{3}}{2}\Rightarrow sin2\theta =sin{60}^{\circ }\Rightarrow 2\theta ={60}^{\circ }\Rightarrow \theta ={30}^{\circ }$