Find the value of x in each of the following :

We have,

$2 \sin \frac{x}{2}=1$

$\Rightarrow \sin \frac{x}{2}=\frac{1}{2}$

Since, $\sin 30^{\circ}=\frac{1}{2}$

Therefore,

$\sin \frac{x}{2}=\frac{1}{2}$

$\Rightarrow \frac{x}{2}=30^{\circ}$

$\Rightarrow x=2 \times 30^{\circ}$

$\Rightarrow x=60^{\circ}$

Therefore,

$x=60^{\circ}$